nLab Author — David Corfield

Overview

David Corfield has contributed to 2593 nLab pages.

Most recent contributions

All pages contributed to

• !-modality
• 't Hooft double line notation
• (-1)-groupoid
• (1,1)-dimensional Euclidean field theories and K-theory
• (1,2)-topos
• (2,1)-algebraic theory of E-infinity algebras
• (2,1)-dimensional Euclidean field theories and tmf
• (2|1)-dimensional Euclidean field theory
• (infinity,1)-category
• (infinity,1)-Grothendieck construction
• (infinity,1)-Kan extension
• (infinity,1)-operad
• (infinity,1)-pretopos
• (infinity,1)-profunctor
• (infinity,1)-site
• (infinity,1)-topos
• (infinity,1)Cat
• (infinity,1)Prof
• (infinity,1)Topos
• (infinity,2)-sheaf
• (infinity,2)-topos
• (infinity,n)-category
• (infinity,n)-category of cobordisms
• (infinity,n)-category of correspondences
• (infinity,n)-category with adjoints
• (infinity,n)-category with duals
• (infinity,n)-module
• (n,r)-category
• (n-connected, n-truncated) factorization system
• (sub)object classifier in an (infinity,1)-topos
• (∞,1)-algebraic theory
• (∞,1)-limit
• (∞,Z)-category
• 15-sphere
• 1lab
• 2-category equipped with proarrows
• 2-category of adjunctions
• 2-group
• 2-Hilbert space
• 2-monad
• 2-periodic sphere spectrum
• 2-plectic geometry
• 2-pretopos
• 2-pro-object
• 2-representation
• 2-spectral triple
• 2-topos
• 2-type theory
• 2-vector space
• 2009 August changes
• 2009 July changes
• 2009 June changes
• 2009 September changes
• 3-manifold
• 3-theory
• 4-sphere
• 600-cell
• 7-sphere
• 8-manifold
• 8-sphere
• A first idea of quantum field theory -- Geometry
• A string diagram calculus for predicate logic
• A study in derived algebraic geometry
• A Survey of Elliptic Cohomology
• A Survey of Elliptic Cohomology - E-infinity rings and derived schemes
• A Survey of Elliptic Cohomology - the derived moduli stack of derived elliptic curves
• Aarne Ranta
• abductive reasoning
• Abel-Jacobi map
• absolute cohomology
• absolute conclusion
• absolute de Rham cohomology
• absolute extensor
• absolute value
• Abstract and Concrete Categories
• abstract general, concrete general and concrete particular
• abstract scattering theory
• abstract Stone duality
• abstraction
• action functional
• action monad
• action of a monoidal category
• Adams category
• Adams conjecture
• Adams e-invariant
• Adams operation
• Adams operation on Jacobi diagrams
• Adams resolution
• Adams spectral sequence
• additive analytic geometry
• ADE -- table
• ADE classification
• ADE singularity
• adiabatic switching
• adinkra
• Adj
• adjoint (infinity,1)-functor
• adjoint (infinity,1)-functor theorem
• adjoint equivalence
• adjoint functor
• adjoint functor theorem
• adjoint logic
• adjoint modality
• adjoint operator
• adjoint quadruple
• adjoint string
• adjoint triple
• Adjointness for 2-Categories
• adjunction
• AdS-CFT correspondence
• AdS-CFT in condensed matter physics
• AdS-QCD correspondence
• affine logic
• affine modality
• Akshay Venkatesh
• Albanese variety
• Albert algebra
• Albert Lautman
• Albert Schwartz > history
• Alexander Efimov
• Alexander polynomial
• Alexandru Buium
• Alfred Ewing
• algebra
• algebra for an endofunctor
• algebra over a Lawvere theory
• algebraic cobordism
• algebraic effect
• algebraic group
• algebraic K-theory
• algebraic model for modal logics
• algebraic set theory
• algebraic space
• algebraic stack
• algebraic structure
• algebraic theory
• algebraic vector bundle
• allegory
• almost Kähler geometric quantization
• almost module
• Amar Hadzihasanovic
• Ambidexterity in K(n)-Local Stable Homotopy Theory
• amplituhedron
• An Essay on the Foundations of Geometry
• anafunctor
• analysis
• analytic (∞,1)-functor
• analytic geometry
• analytic monad
• analytic philosophy
• analytic torsion
• analytic versus synthetic
• analytically continued Chern-Simons theory
• analytification
• Anders Kock
• Andrew Lenard
• Anna Marie Bohmann
• anomaly cancellation
• Another page > history
• anti de Sitter group
• anti de Sitter spacetime
• antichain
• antithesis interpretation
• applications of double category theory
• applicative functor
• applied category theory
• AQFT
• AQFT on curved spacetimes
• Archimedean ordered field
• Arf-Kervaire invariant problem
• arithmetic Chern-Simons theory
• arithmetic Chow group
• arithmetic cohesion -- table
• arithmetic cryptography
• arithmetic differential geometry
• arithmetic jet space
• arithmetic topology
• Arpon Raksit
• arrow (in computer science)
• arrow (∞,1)-topos
• Arthur Prior
• Arthur-Selberg trace formula
• Artin L-function
• Artin-Mazur formal group
• Arun Debray
• Asgar Jamneshan
• Ash Asudeh
• associative submanifold
• Atiyah-Segal completion theorem
• Atiyah-Singer index theorem
• atlas
• Aufhebung
• augmented infinity-group
• augmented virtual double category
• Ausdehnungslehre
• Automath
• automorphic form
• automorphism of a vertex operator algebra
• Axel Osmond
• axio-dilaton
• axiom K (modal logic)
• axiom K (type theory)
• axiom of foundation
• axiom of full comprehension
• axiom of separation
• Axiomatic field theories and their motivation from topology
• axion
• B1-homotopy theory
• Baas-Sullivan theory
• Banach space
• bar and cobar construction
• Barcan formula
• Barnes G-function
• baryogenesis
• Bas van Fraassen
• basic complex line bundle on the 2-sphere
• Baues > history
• Bayesian interpretation of quantum mechanics
• Bayesian reasoning
• BCJ relations
• BDR 2-vector bundle
• Beck-Chevalley condition
• Becker-Gottlieb transfer
• Beilinson-Bernstein localization
• Ben Webster
• Benedict Gross
• Benno van den Berg
• Berkovich space
• Bernhard Riemann
• Bernhard Schölkopf
• Bernoulli number
• Bertrand Russell
• beta-gamma system
• beta-ring
• BF-theory
• BFSS matrix model
• Bianchi identity
• bibundle
• bicategory of relations
• bicrossed product
• bidirectional typechecking
• bifibration
• big and little toposes
• Big Bang
• biology
• bireflective subcategory
• bisimulation
• bit flip code
• Bjørn Ian Dundas
• black hole in anti-de Sitter spacetime
• black holes in string theory
• BLG model
• blob homology
• blueprint
• BMN matrix model
• Boardman homomorphism
• Bob Coecke
• Bob Walters
• Bohr compactification
• Bohr topos
• books about string theory
• Boolean algebra
• Boone conjecture
• Borcherds algebra
• bordism categories following Stolz-Teichner
• Borel model structure
• Borel-Weil theorem
• Borger's absolute geometry
• Boris Dubrovin
• bornological coarse space
• bornological topological vector space
• bornological topos
• bosonic M-theory
• bosonic modality
• Bott periodicity
• bounded geometric morphism
• bounded linear logic
• Bourbaki
• Bousfield localization of spectra
• Bousfield–Kan spectral sequence
• box topology
• BPS state
• BPST-instanton
• BQP
• bracket type
• braid group
• brane
• brane scan
• Brauer group
• Brauer stack
• Bredon cohomology
• Bridgeland stability condition
• Brillouin torus
• Brouwer's fixed point theorem
• Brown representability theorem
• Brown-Comenetz duality
• BrownAHT
• BRST complex
• Bruhat decomposition
• Bruno de Finetti
• Bruno Gavranović
• building
• bundle
• bundle gerbe
• Burnside category
• Burnside ring
• BV-algebra
• BV-BRST formalism
• C^∞-ring
• Calabi-Yau object
• Calabi-Yau variety
• calculus of constructions
• calibration
• call-by-push-value
• canonical form
• canonical resolution
• Cantor space
• cardinal number
• Cartan connection
• Cartan geometry
• Cartan geometry, Supergravity and Branes
• Cartan's closed subgroup theorem
• cartesian bicategory
• cartesian closed 2-category
• cartesian closed category
• cartesian monad
• cartesian monoidal category
• cartesian multicategory
• Cartier duality
• CartSp
• Cat
• Catalan number
• categorial grammar
• categorical geometric Langlands conjecture
• categorical semantics of dependent type theory
• categorified Dold-Kan correspondence
• category (philosophy)
• category algebra
• category object in an (infinity,1)-category
• category of being
• category of fractions
• category of presheaves
• category theory
• category theory and foundations
• Catherine Meusburger
• Cauchy complete category
• Cauchy's integral formula
• causal additivity
• causal locality
• causal perturbation theory
• causal structure
• causally local net of observables
• Cayley distance
• Cayley distance kernel
• Cayley graph
• Cayley graph of Sym(3)
• Cayley plane
• Cayley-Dickson construction
• Center for Quantum and Topological Systems
• central extension
• chain homology and cohomology
• chain rule
• change of enriching category
• character
• character table of 2I
• character table of 2T
• characteristic
• characteristic class
• Charles Sanders Peirce
• chemistry
• Chern character
• Chern class
• Chern-Simons gravity
• Chern-Simons theory
• Chern-Weil theory
• Chern-Weil theory in Smooth∞Grpd
• Chevalley-Eilenberg algebra
• Chevalley-Eilenberg algebra in synthetic differential geometry
• child's drawing
• choice operator
• chord diagrams as multi-trace observables in BMN matrix model -- example
• Christian Ausoni
• Christian Schlichtkrull
• Christoph Dorn
• Chromatic Homotopy Theory
• chromatic homotopy theory
• Chu construction
• circle n-group
• clan
• Clark Barwick
• class equation
• classical anomaly
• classical double copy
• classical field theory
• classical limit
• classical logic
• classical mathematics
• classifying (infinity,1)-topos
• classifying topos
• classifying topos for the theory of objects
• Claudio Pisani
• Clifford algebra
• Clifford-Klein space form
• closed midpoint algebra
• closed monoidal (infinity,1)-category
• closed monoidal structure on presheaves
• cluster algebra
• CNOT gate
• co-H-space
• co-Yoneda lemma
• coalgebra
• coalgebra for an endofunctor
• coalgebra of the real interval
• cobordism
• cobordism cohomology theory
• cobordism hypothesis
• cobordism theory determining homology theory
• cocategory
• cocommutative coalgebra
• cocycle
• codense functor
• codense subspace
• codensity monad
• codiscrete cofibration
• codiscrete groupoid
• codomain fibration
• coercion
• cofibration
• cofibration category
• cograph of a profunctor
• coherent hyperdoctrine
• coherent logic
• cohesion - table
• cohesion of global- over G-equivariant homotopy theory
• cohesive (infinity,1)-topos
• cohesive (infinity,1)-topos -- structures
• cohesive homotopy type theory
• cohesive topos
• Cohesive Toposes -- Combinatorial and Infinitesimal Cases
• Cohesive Toposes and Cantor's "lauter Einsen"
• cohomological dimension
• cohomology
• cohomology group
• cohomology of a category
• cohomology operation
• cohomotopy
• cohomotopy charge map
• cohomotopy in topological data analysis -- references
• coinduction
• coinductive type
• colimit
• colimits in categories of algebras
• colocalization
• colored Jones polynomial
• combinatorial category
• combinatorial spectrum
• combinatory logic
• commutative Hopf algebroid
• commutative monoid
• commutative square
• commutativity of limits and colimits
• comodal type
• comonad
• comonadic functor
• compact closed category
• compact object
• compact object in an (infinity,1)-category
• compact space
• compactum
• comparison map between algebraic and topological K-theory
• complete Boolean algebra
• complete Heyting algebra
• complete space
• completeness theorem
• completion
• completion of a ring
• completion theorem for complex cobordism cohomology
• complex analytic ∞-groupoid
• complex geometry
• complex oriented cohomology theory
• complexity theory
• composite system
• compositionality
• computable physics
• computational trilogy
• computational type theory
• conal manifold
• concept with an attitude
• conceptual completeness
• concrete category
• concrete object
• concretification
• condensed local contractibility
• condensed mathematics
• condensed set
• conductor
• configuration space (physics)
• configuration space of points
• confinement
• conformal field theory
• conformal net
• conifold transition
• conjugacy class
• connected space
• Connes-Lott-Chamseddine-Barrett model
• conservative functor
• conserved current
• consistency
• consistent histories approach to quantum mechanics
• constructive mathematics
• contact manifold
• context
• continuation monad
• continuation-passing style
• continuous logic
• continuous map
• continuous poset
• continuum
• contractible space
• convergence radius
• convex cone
• convex set
• convex space
• Conway group
• coordinate-free spectrum
• coordination
• copresheaf
• Coq
• core of a ring
• coreader comonad
• corecursion
• coreflective subcategory
• correlator as differential form on configuration space of points
• correspondence theory of truth
• coset
• coset space structure on n-spheres -- table
• cosheaf
• cosmic censorship hypothesis
• cosmic cube
• cosmic electromagnetism
• cosmic Galois group
• cosmological constant
• cosmos
• cospan
• cospan cotrace
• cotangent complex
• cotopological localization
• Coulomb branch
• countable ordinal
• countable random graph
• counterexamples in category theory
• Courant algebroid
• covariant derivative
• covering of alternating group
• Coxeter group
• Coyoneda lemma > history
• CR structure
• criticism of string theory
• Critique of Pure Reason
• crossed homomorphism
• crossed module
• crossed n-cube
• crystal (algebraic geometry)
• crystallographic group
• cubical set
• cubical structure in M-theory
• cubical truncation, skeleton, and co-skeleton
• cubical type theory
• current
• Curry's paradox
• curvature
• cut rule
• cyclic category
• cyclic homology
• cyclic order
• cyclotomic space
• cyclotomic spectrum
• cyclotomic trace
• D'Auria-Fré-Regge formulation of supergravity
• D-algebra
• D-brane
• D-brane charge quantization in K-theory
• D-brane geometry
• D-module
• D-scheme
• D-term
• D=11 N=1 supergravity
• D=11 supergravity Lie 3-algebra
• D=12 supergravity
• D=14 supersymmetry
• D=2 SCFT
• D=3 N=2 super Yang-Mills theory
• D=4 supergravity
• D=5 Yang-Mills theory
• D=6 N=(2,0) SCFT
• D=7 Chern-Simons theory
• Daisuke Bekki
• Daisuke Tambara
• Dan Ghica
• Dan Marsden
• Daniel Berwick-Evans
• Daniel Leivant
• daseinisation
• database theory
• David Ben-Zvi
• David Carchedi
• David Corfield
• David Jaz Myers
• David Mumford
• David Spivak
• Davide Gaiotto
• Davorin Lešnik
• Day convolution
• de re and de dicto
• de Rham complex
• de Rham space
• de Rham theorem
• de Rham-Witt complex
• decategorification
• Dedekind cut
• deductive reasoning
• definite description
• definite globalization of WZW term
• deformation theory
• defunctionalization
• del Pezzo surface
• Deligne cohomology
• Deligne completeness theorem
• Deligne's theorem on tensor categories
• delooping
• delta lens
• Demazure, lectures on p-divisible groups, II.5, the Frobenius and the Verschiebung morphism
• Denis-Charles Cisinski
• Dennis Sullivan
• dense functor
• dense monomorphism
• dependent linear type theory
• dependent product
• dependent product type
• dependent sum
• dependent sum natural deduction - table
• dependent sum type
• Dependent Type Semantics
• dependent type theoretic methods in natural language semantics
• dependent type theory
• derivation
• derivative
• derived algebraic geometry
• derived blow-up
• derived category
• derived functor
• derived geometry
• derived group scheme
• derived loop space
• derived Morita equivalence
• derived smooth manifold
• descriptive complexity
• deterministic random variable
• dg-algebra > history
• diagram
• Dialectica interpretation
• dialgebra
• diamond principle
• dichotomy between nice objects and nice categories
• Dickson invariant
• diffeomorphism group
• differential algebraic K-theory
• differential category
• differential cohesion and idelic structure
• differential cohesive (infinity,1)-topos
• differential cohomology
• differential cohomology diagram
• differential equation
• differential fivebrane structure
• differential form on a supermanifold
• differential graded Lie algebra
• differential ideal
• differential K-theory
• differential linear logic
• differential nonabelian cohomology
• differential object
• differentiation
• diffiety
• Dijkgraaf-Witten theory
• dimer
• dinatural transformation
• diquark
• Dirac interaction picture
• Dirac-Born-Infeld action
• direct sum
• Directed Algebraic Topology
• directed homotopy type theory
• directed topological space
• direction
• Dirichlet L-function
• discrete and indiscrete topology
• disjunction
• disjunctive (∞,1)-category
• distribution
• distributive category
• distributive law
• divided power algebra
• division algebra and supersymmetry
• division superalgebra
• Dixmier-Douady class
• Dmitri Nikshych
• doctrinal adjunction
• doctrine
• Dolbeault theorem
• Dold-Kan correspondence
• Dold-Thom theorem
• domain specific embedded programming language
• domain theory
• domain wall
• Dominic Orchard
• Donald Yau
• Donaldson-Thomas invariant
• double affine Hecke algebra > history
• double category
• double coset
• double dimensional reduction
• double field theory
• double negation translation
• doublet-triplet splitting problem
• doubly closed monoidal category
• Dp-D(p+2)-brane bound state
• Dp-D(p+4)-brane bound state
• dual heterotic string theory
• duality
• duality between M-theory and type IIA string theory
• duality between M-theory on Z2-orbifolds and type IIB string theory on K3-fibrations
• duality between M/F-theory and heterotic string theory
• duality in physics
• duality in string theory
• dualizable object
• Dubuc topos
• Duff interview at M-Theory-Mathematics 2020
• duoidal category
• Dustin Clausen
• Dwyer-Wilkerson H-space
• Eckmann-Hilton argument
• Eckmann-Hilton duality
• Edmund Husserl
• Edwin Jaynes
• Eff
• effect handler
• effective epimorphism
• effective epimorphism in an (infinity,1)-category
• effective quantum field theory
• effective topos
• Efimov K-theory
• Egbert Rijke
• Ehlers transformation
• EI-category
• eigenvector
• Eilenberg-Mac Lane space
• Eilenberg-Moore category
• Eilenberg-Zilber map
• einselection
• Einstein equation
• Einstein summation convention
• Einstein-Hilbert action
• electric-magnetic duality
• electromagnetic field
• electronic band structure
• elementary (infinity,1)-topos
• Elliott Lieb
• elliptic cohomology
• Elliptic Cohomology I
• elliptic genus
• elliptic spectrum
• Elmendorf's theorem
• embedding
• emergentism
• empty 147
• empty 148
• empty 149
• empty 150
• empty 151
• empty 162
• empty 163
• empty type
• empty166
• empty167
• empty168
• empty169
• Encyclopedia of Mathematical Physics 2nd ed
• Encyclopedia of the Philosophical Sciences
• end
• endomorphism
• energy
• enhanced gauge symmetry
• enriched adjoint functor
• enriched category
• enriched Lawvere theory
• enriched monad
• entropy
• enveloping von Neumann algebra
• epimorphism
• epistemic modal logic
• EPR paradox
• epsilontic analysis
• equality
• equifier
• equivalence
• equivalence of types
• equivariance
• equivariant
• equivariant bundle
• equivariant cohomology
• equivariant complex cobordism cohomology theory
• equivariant complex oriented cohomology theory
• equivariant connection
• equivariant de Rham cohomology
• equivariant derived category
• equivariant elliptic cohomology
• equivariant homotopy theory
• equivariant homotopy theory -- table
• equivariant K-theory
• equivariant stable homotopy category
• equivariant stable homotopy theory
• equivariant Whitehead theorem
• ER = EPR
• Eric Finster
• Erlangen program
• Ernst Cassirer
• Ernst Zermelo
• essentially affine category
• essentially algebraic theory
• ETCS
• Euclidean field theory
• Euler characteristic
• Euler-Lagrange complex
• Evan Patterson
• even cohomology theory
• event horizon
• ex falso quodlibet
• exact category
• exact sequence
• examples of adjoint functors
• exceptional field theory
• exceptional generalized geometry
• exceptional naturalism
• exceptional structure
• exceptional structures -- contents
• excisive (∞,1)-functor
• exclusive disjunction
• existential quantifier
• exotic brane
• exotic meson
• exotic smooth structure
• explicit formulae (L-function)
• exponentiable functor
• exponential map
• exponential object
• extended Lagrangian
• extended natural numbers > history
• extension
• extensional relation
• exterior algebra
• external tensor product
• externalization
• extremally disconnected topological space
• E₁₀
• E₁₁
• E₆
• E₈ lattice
• E₈ manifold
• F-branes -- table
• f-invariant
• F-norm
• F-theory
• F-theory on Spin(7)-manifolds
• F1-brane
• Fabio Zanasi
• factorization algebra
• Factorization algebras in perturbative quantum field theory
• factorization homology
• Fargues-Fontaine curve
• Farrell-Tate cohomology
• fat diagonal
• Favonia
• Felix Cherubini
• Felix Klein
• Fermat quotient
• Feynman category
• Feynman diagram
• fiber bundle
• fiber bundles in physics
• fibrant double category
• fibrant object
• fibration
• fibration of points
• fibration of quasi-categories
• field (physics)
• field with one element
• Fierz identity
• Filippo Bonchi
• filtrality
• filtration by support
• FinCat
• FinDimVect
• finitary functor
• finite category
• finite rotation group
• finite set
• finite ∞-group
• FinRel
• first-order modal logic
• first-order theory
• fivebrane Lie 6-algebra
• Fivebrane structure
• flag variety
• flat functor
• flat modality
• flat module
• flat morphism
• flat space holography
• flavour (particle physics)
• flavour anomaly
• Floer homology
• flow of a vector field
• fluid/gravity correspondence
• focusing
• foliation
• forcing
• formal category theory
• formal concept analysis
• formal deformation quantization
• formal group
• formal immersion of smooth manifolds
• formal smooth infinity-groupoid
• formal spectrum
• formally smooth morphism
• formally smooth object
• formally unramified morphism
• formally étale morphism
• foundation of mathematics
• foundations and philosophy
• Foundations of Algebraic Topology
• four-colour theorem
• Fourier-Mukai transform
• fpqc topology
• fractal
• fractional D-brane
• fracture theorem
• fractured (infinity,1)-topos
• framed manifold
• Francesco Toppan
• Francisco Marmolejo
• free action
• free cocompletion
• free diagram
• free loop space
• free loop space object
• Freed-Witten anomaly
• Freeman Dyson
• Freudenthal magic square
• Freudenthal suspension theorem
• Freyd cover
• Friederich Mautner
• Frobenioid
• Frobenius reciprocity
• Frölicher space
• Frölicher spectral sequence
• fully dualizable object
• fully formal ETCS
• function algebras on infinity-stacks
• function field analogy
• function field analogy -- table
• function monad
• function type
• functional analysis - contents
• functor with smash products
• functorial field theory
• functorial geometry
• Functorial Semantics of Algebraic Theories
• functoriality of categories of presheaves
• fundamental category
• fundamental group
• fundamental group of a topos
• fundamental groupoid
• fundamental infinity-groupoid
• funding of the nLab
• funny tensor product
• Furstenberg-Zimmer structure theorem
• fusion category
• fusion ring
• fuzzy dark matter
• fuzzy sphere
• G(3)
• G-spectrum
• G-structure
• Gabriele Veneziano
• Gabriel–Ulmer duality
• Gaeta topos
• Galois connection
• Galois group
• Galois module
• Galois theory
• game semantics
• Gamma-set
• gauge group
• gauge transformation
• gauged supergravity
• Gauss-Bonnet theorem
• Gauss-Manin connection
• Gaëtan Borot
• Gelfand duality
• general covariance
• general relativity
• generalized (Eilenberg-Steenrod) homotopy
• generalized algebraic theory
• generalized complex geometry
• generalized contact geometry
• generalized global analytic geometry
• generalized lambda-structure
• generalized multicategory
• generalized object > history
• generalized Reedy category
• generalized scheme
• generalized smooth space
• generalized the
• generalized universal bundle
• genus
• Geoff Cruttwell
• geometric infinity-function theory
• geometric Langlands correspondence
• geometric model for elliptic cohomology
• geometric model for modal logics
• geometric quantization
• geometric quantization of symplectic groupoids
• geometric realization
• geometric representation theory
• geometric Satake equivalence
• geometric stack
• geometric theory
• geometrical formulation of quantum mechanics
• geometrically discrete infinity-groupoid
• geometrization conjecture
• geometrodynamics
• geometry
• geometry (for structured (infinity,1)-toposes)
• Geometry of Interaction
• geometry of physics
• geometry of physics - cohesive toposes
• geometry of physics -- categories and toposes
• geometry of physics -- flux quantization
• geometry of physics -- fundamental super p-branes
• geometry of physics -- perturbative quantum field theory
• geometry of physics -- superalgebra
• geometry of physics -- supergeometry
• geometry of physics -- supergeometry and superphysics
• geometry of physics -- supersymmetry
• geometry of physics – basic notions of category theory
• Georg Hegel
• George Mackey
• George Polya
• Gerhard Gentzen
• Gianluca Giorgolo
• giant graviton
• Gilbert Ryle
• Giovanni Caviglia
• Giry monad
• global analytic index theory
• global equivariant homotopy theory
• global family
• Global homotopy theory
• global orbit category
• globally equivariant spectrum
• Globular
• gnarly problems in physics
• good monoidal (∞,1)-category
• good orbifold
• Goodwillie calculus
• Goodwillie chain rule
• Goodwillie derivative of the identity functor
• Gorenstein ring
• Gorenstein ring spectrum
• Gorgias dialogue
• Gottfried Leibniz
• graded fusion category
• graded modality
• graded monad
• graph complex
• graph of a function
• gravitino
• Green functor
• Green-Schwarz action functional
• Green-Schwarz mechanism
• Gregor Schaumann
• Gregory Moore
• Gromoll-Meyer sphere
• Gromov's non-squeezing theorem
• Grothendieck connection
• Grothendieck construction
• Grothendieck fibration
• Grothendieck ring
• Grothendieck-Riemann-Roch theorem
• group actions on spheres
• group averaging
• group character
• group cohomology
• group extension
• group homotopy
• group of ideles
• group of Lie type
• group scheme
• groupal model for universal principal infinity-bundles
• groupoid
• groupoid cardinality
• groupoid cohomology
• groupoid infinity-action
• groupoid principal bundle
• groupoid-principal infinity-bundle
• groupoidification
• Gruppenpest
• guarded recursion
• GUT
• Göran Sundholm​
• G₂
• G₂ manifold
• G₂-MSSM
• h-initial object
• h-principle
• H-space
• Haag-Kastler axioms
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• Peter Haine
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• Pierre Cagne
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• Pin(3)
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• polynomial functor
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• Pos
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• possible worlds semantics
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• practical foundation of mathematics
• Practical Foundations for Programming Languages
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• Predrag Cvitanović
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• PRO
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• Quantum Gauge Theories -- A True Ghost Story
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• quark
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• quasi-finite CW-complex
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• Radha Jagadeesan
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• Raffael Stenzel
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• rational equivariant stable homotopy theory
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• Reconstruction of Groups
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• reduced object
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• regular action
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• Reid William Barton
• relation between quasi-categories and simplicial categories
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• relative adjoint functor
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• Republic dialogue
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• reverse monoidal category
• rewriting
• rheonomy modality
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• Richard Montague
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• Riemannian manifold
• Rig
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• ring of adeles
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• RO(G)-grading
• Robert A. Wilson
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• Robert Harper
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• Robinson-Schensted-Knuth correspondence
• Roger Godement
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• Ruelle zeta function
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• Sam Staton
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• SCFT
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• Schwinger-Tomonaga-Feynman-Dyson
• Science of Logic
• scissors congruence
• Sebastian Wolf
• second quantization
• secondary characteristic class
• Segal completion -- table
• Seiberg duality
• Seiberg-Witten theory
• Seifert fibration
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• Selberg trace formula
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• selection monad
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• self-dual higher gauge theory
• semi-abelian category
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• semistandard Young tableau
• separation logic
• sequent
• sequent calculus
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• Sergey Slavnov
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• setoid
• Severin Bunk
• sextonion
• shape modality
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• sheaf of spectra
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• shell
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• Shing-Tung Yau
• Shinichi Mochizuki
• shtuka
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• side effect
• Sierpinski topos
• sieve
• sigma-algebra
• sigma-model
• sigma-model -- exposition of classical sigma-models
• sigma-model -- exposition of higher gauge theories as sigma-models
• sigma-model -- exposition of second quantization of sigma-models
• signature (in logic)
• Simon Cho
• Simon Henry
• simplicial C-infinity-ring
• simplicial complex
• simplicial object
• simplicial ring
• simulation
• singular cohesion
• singular learning theory
• singularity
• six operations
• sketch
• Sketches of an Elephant
• skyrmion
• slice theorem
• small instanton
• smash product of spectra
• Smith space (functional analysis)
• Smith space (generalized smooth space)
• smooth (infinity,1)-algebra
• smooth groupoid
• smooth infinity-groupoid
• smooth infinity-groupoid -- structures
• smooth Lorentzian space
• smooth manifold
• smooth Serre-Swan theorem
• smooth spectrum
• smooth structure
• SmoothManifolds
• Snaith theorem
• SO(3)
• Soichiro Fujii
• solid topos
• soliton
• Some Thoughts on the Future of Category Theory
• Sp(n).Sp(1)
• space and quantity
• space of finite subsets
• space of knots
• space of sections
• spatial topos > history
• Spec(S)
• Spec(Z)
• special values of L-functions
• species
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• Spectral Algebraic Geometry
• spectral algebraic geometry
• spectral group scheme
• Spectral Schemes
• spectral super-scheme
• spectral symmetric algebra
• Spectrum
• spectrum
• spectrum - disambiguation
• spectrum object
• spectrum of a tensor triangulated category
• spectrum with G-action
• Spencer Breiner
• Spencer cohomology
• sphere
• spherical fibration
• spin representation
• spin structure
• Spin(11,3)
• Spin(9)
• Spin(9)/Spin(7) is the 15-sphere
• spinᶜ
• spontaneously broken symmetry
• sporadic finite simple group
• Srikanth Iyengar
• stability of matter
• stabilizer group
• stable (infinity,1)-category
• stable cohomotopy
• stable homotopy category
• stable homotopy theory
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• stable splitting of mapping spaces
• stable weak homotopy equivalence
• standard model of particle physics
• star-autonomous category
• Starobinsky model of cosmic inflation
• state monad
• statistical learning theory
• statistical mechanics
• statistical significance
• Steenrod algebra
• Stefan Hollands
• Steiner system
• Steve Awodey
• Steve Lack > history
• Stokes theorem
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• stratified category
• stratified homotopy hypothesis
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• Street fibration
• strict initial object
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• string 2-group
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• string theory FAQ
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• Strings 2022
• strong dinatural transformation
• structural realism
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• structuralism
• structure in model theory
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• stuff, structure, property
• Sturm-Liouville theory
• SU2-instantons from the correct maths to the traditional physics story
• subcategory
• substitution
• sugaring
• Sullivan model
• Sullivan model of a spherical fibration
• super 2-brane in 4d
• super algebra
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• Super Gerbes
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• super Lie algebra
• super line 2-bundle
• super Poincaré Lie algebra
• super Riemann surface
• super vector space
• super-Cartan geometry
• super-embedding formalism
• superconductivity
• supergeometry
• supergravity
• supergravity C-field
• supergravity Lie 6-algebra
• supergroup
• superpoint
• superspace
• supersphere
• superstring
• supersymmetric quantum mechanics
• supersymmetry
• supersymmetry and Calabi-Yau manifolds
• supersymmetry breaking
• supervised learning
• supply in a monoidal category
• Surj
• surjection
• surjective on objects functor
• swampland
• swampland cobordism conjecture -- references
• Sweedler coring
• syllogism
• Sylow p-subgroup
• symbol of a differential operator
• symmetric function
• symmetric monoidal (infinity,1)-category
• symmetric monoidal (infinity,n)-category
• symmetry protected topological phase
• symplectic duality
• symplectic geometry
• symplectic infinity-groupoid
• symplectic Lie n-algebroid
• syntactic category
• syntax-semantics duality
• synthetic differential geometry
• synthetic differential geometry applied to algebraic geometry
• synthetic differential supergeometry
• synthetic differential topology
• synthetic domain theory
• synthetic geometry
• synthetic guarded domain theory
• synthetic homotopy theory
• synthetic mathematics
• synthetic probability theory
• synthetic Tait computability
• synthetic topology
• syntomic cohomology
• T-duality
• T-duality 2-group
• T-fold
• T. Streicher - a model of type theory in simplicial sets - a brief introduction to Voevodsky' s homotopy type theory
• table of marks
• taboo
• tabulator
• Taichi Uemura
• Tall-Wraith monoid
• Tamagawa number
• Tambara functor
• Tambara module
• tangent (infinity,1)-category
• tangent bundle
• tangent bundle category
• tangent category
• tangent cohesive (∞,1)-topos
• tangent cone
• tangle hypothesis
• Tannaka duality
• Tannaka duality for geometric stacks
• Tate spectrum
• tautology
• TCFT
• Teichmüller theory
• temporal logic
• ten-fold way
• tensor power
• Terence Tao
• terminal coalgebra for an endofunctor
• terminal object
• tetraquark
• The Blind Spot
• The Rising Sea
• The Unreasonable Effectiveness of Mathematics in the Natural Sciences
• The Unreasonable Effectiveness of Physics in the Mathematical Sciences
• Theodor Kaluza
• theory
• theory (physics)
• Theory and Applications of Categories
• theory of objects
• thermodynamics
• theta function
• Theta-space
• things to be categorified
• third stable homotopy group of spheres
• Thom space
• Thom spectrum
• Thom's theorem
• Thompson sporadic group
• Tietze extension theorem
• Tilman Bauer
• Timaeus dialogue
• time
• Timeline of category theory and related mathematics
• tiny > history
• tiny object
• tmf
• Toby St Clere Smithe
• Tommaso Dorigo
• Tools for the advancement of objective logic
• Topological Algebraic Geometry - A Workshop
• topological cyclic homology
• topological G-space
• topological group
• topological index
• topological infinity-groupoid
• topological insulator
• topological K-theory
• topological localization
• topological M-theory
• topological modular form
• topological recursion
• topological T-duality
• topologically cyclic group
• topologically twisted D=4 super Yang-Mills theory
• topology
• topology and geometry
• topos
• torsion approximation
• torsion constraints in supergravity
• torsion subgroup
• torus
• total order
• totally distributive category
• Tractatus Logico-Philosophicus
• transchromatic character
• transgression
• transgression of bundle gerbes
• transition system
• transitive action
• tree
• triangle inequality
• tribe
• trifibration
• Trimble on ETCS I
• Trimble on ETCS II
• Trimble's notion of weak n-category > history
• triple membrane junction
• tripos
• trivial ring
• tropical semiring
• Tullio Regge
• TVS relationships
• twisted cohomology
• twisted cohomotopy
• twisted de Rham cohomology
• twisted differential cohomology
• twisted differential K-theory
• twisted infinity-bundle
• twisted K-theory
• twisted smooth cohomology in string theory
• twisted spin structure
• twistor fibration
• twistor space
• two-level type theory
• Tychonoff theorem
• type (functional analysis)
• type I string theory
• type II string theory
• type refinement
• type theory
• type universe
• type-theoretic model category
• Ulrik Buchholtz
• ultracategory
• ultrafilter
• ultraproduct
• umbral moonshine
• uncertainty principle
• uniform space
• uniqueness quantifier
• unitary calculus
• unitary functorial field theory
• unitary representation
• Unity and Identity of Opposites in Calculus and Physics
• univalence axiom
• universal algebra
• universal Chern-Simons circle 7-bundle with connection
• universal Chern-Simons line 3-bundle
• universal construction
• universal covering space
• universal fibration of (infinity,1)-categories
• universal Kan fibration
• universal principal infinity-bundle
• universal quantifier
• unramified morphism
• upper central series
• urelement
• Uwe Petersen
• vacuum amplitude
• validity
• valuation ring
• variational bicomplex
• variety of algebras
• Vassiliev invariant
• Vect(X)
• VectBund
• vector
• Verschiebung morphism
• vertex operator algebra
• vertical categorification
• Victor Kac
• Vienna Circle
• Vietoris complex
• virtual cohomological dimension
• Vladimir Drinfel'd
• Vladimir Vapnik
• Voevodsky motive
• volume conjecture
• volume of a Lie groupoid
• von Neumann algebra
• W-type
• Walker-Wang model
• wall crossing
• wallpaper group
• Walter Felscher
• Walter Gordon
• Ward identity
• Wasserstein metric
• wave function collapse
• weak colimit
• weak enrichment
• weak factorization system
• weak limit
• weakly étale morphism of schemes
• weight systems are cohomology of knot graph complex
• weight systems on chord diagrams in physics
• Weil algebra
• Weil conjecture on Tamagawa numbers
• Weil uniformization theorem
• Weinstein symplectic category
• Weiss topology
• well-founded coalgebra
• Wess-Zumino-Witten model
• Weyl group
• wheeled graph
• Whitehead product
• Whitehead theorem
• Whitehead tower
• why (infinity,1)-categories?
• Wick rotation
• wide pullback
• Wightman axioms
• Wigner classification
• Willard Quine
• William Lawvere
• Wirthmüller context
• Witt cohomology
• Witt-Burnside functor
• Witten genus
• Witten's Dark Fantasy
• Wojciech Zurek
• Wolfgang Pauli
• world sheets for world sheets
• wrapped brane
• Xiao-Gang Wen
• Yan Zhang
• Yiannis Sakellaridis
• Yoneda embedding
• Yoneda lemma
• Yoneda lemma for (infinity,1)-categories
• Yoneda lemma for bicategories
• Yoneda lemma for tricategories
• Young diagram
• Yuji Tachikawa
• Yves Diers
• Zach Goldthorpe
• zeta function
• zeta function of a dynamical system
• zeta function of a Riemann surface
• zeta function of an elliptic differential operator
• ZFA
• Zhaohui Luo
• Ziv Ran
• Zoe Wyatt
• Éric Goubault
• étale groupoid
• étale site
• étale theta function
• étale topos
• Čech cohomology
• Čech methods
• Łoś ultraproduct theorem
• δ-ring