analysis (differential/integral calculus, functional analysis, topology)
metric space, normed vector space
open ball, open subset, neighbourhood
convergence, limit of a sequence
compactness, sequential compactness
continuous metric space valued function on compact metric space is uniformly continuous
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synthetic differential geometry
Introductions
from point-set topology to differentiable manifolds
geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry
Differentials
Tangency
The magic algebraic facts
Theorems
Axiomatics
Models
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
In analysis or differential geometry, a derivative is the result of applying differentiation to a differentiable map.
The Kock-Lawvere axiom for the axiomatization of differentiation in synthetic differential geometry was introduced in
Last revised on May 17, 2022 at 15:48:51. See the history of this page for a list of all contributions to it.