lSpace Category — smootheology

Overview

The lSpace wiki has 56 pages in this category.

Pages

• A convenient category of supermanifolds
• A convenient setting for differential geometry and global analysis
• A convenient setting for differential geometry and global analysis. {II}
• A Lie algebra for Fr\"olicher groups
• A Loop Space Formulation for Geometric Lifting Problems
• A model structure on the category of diffeological spaces
• A non regular Fr\"olicher Lie group of diffeomorphisms
• A note on a diffeomorphism between two Banach spaces
• A zoo of diffeomorphism groups on $\mathbb R^n$
• Adequate subcategories
• An introduction to C-infinity schemes and C-infinity algebraic geometry
• An introduction to d-manifolds and derived differential geometry
• Axiomatic Differential Geometry II-3
• Axiomatic Differential Geometry III-1
• Axiomatic Differential Geometry III-2
• Axiomatic Differential Geometry III-3
• Axioms for convenient calculus
• Cat\'egories cart\'esiennement ferm\'ees engendr\'ees par des mono\"\i des
• Connections, path liftings and Ambrose-Singer theorem on diffeological bundles
• Controllability on infinite-dimensional manifolds
• Cosimplicial C-infinity rings and the de Rham complex of Euclidean space
• D-manifolds, d-orbifolds and derived differential geometry: a detailed summary
• Diffeologies, Differential Spaces, and Symplectic Geometry
• Diffeology
• Differential calculus in locally convex spaces
• Differential Geometry of Microlinear Frolicher Spaces
• Differential Geometry of Microlinear Frolicher Spaces III
• Differentiating Matrix Functions
• Fréchet manifolds as diffeological spaces
• Groupes diff\'erentiels
• Infinite dimensional manifolds from a new point of view
• Infinite-dimensional manifolds as ringed spaces
• Intrinsic weak derivatives and Sobolev spaces between manifolds
• Iterated integrals over higher dimensional loops
• Linear spaces and differentiation theory
• Linear spaces and involutive duality functors
• Local Theory for 2-Functors on Path 2-Groupoids
• On a generalization of the notion of manifold
• On the Smoothness of Functors
• On Theories of Superalgebras of Differentiable Functions
• Polyfolds: A First and Second Look
• Relative Microlinearity -Towards the general theory of fiber bundles for Frolicher spaces
• Smooth group representations on bornological vector spaces
• Smooth Manifolds vs Differential triads
• Spin structures on loop spaces that characterize string manifolds
• String geometry vs. spin geometry on loop spaces
• Strongly internal sets and generalized smooth functions
• Sub-Riemannian geometry on infinite-dimensional manifolds
• The D-topology for diffeological spaces
• The homotopy theory of diffeological spaces, I. Fibrant and cofibrant objects
• The inverse function theorem of Nash and Moser
• The Orbit Space and Basic Forms of a Proper Lie Groupoid
• Topological characterization of various types of rings of smooth functions
• Weakly Smooth Structures in Gromov-Witten Theory
• Whitney categories and the Tangle Hypothesis
• Yet More Smooth Mapping Spaces and Their Smoothly Local Properties