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)
The term is often used as a name for one of the following categories:
the category of smooth manifolds with smooth functions between them (see at SmoothManifolds),
the category of differentiable manifolds for some degree of differentiation (which authors may or may not indicate by a subscript),
the category of diffeological spaces.
Beware that all these categories are different (not equivalent), albeit closely related.
Last revised on June 26, 2022 at 11:54:06. See the history of this page for a list of all contributions to it.