homotopy theory, (∞,1)-category theory, homotopy type theory
flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed…
models: topological, simplicial, localic, …
see also algebraic topology
Introductions
Definitions
Paths and cylinders
Homotopy groups
Basic facts
Theorems
A homotopical functor between two homotopical categories and is a functor which preserves the weak equivalences of (i.e., which sends all weak equivalences of to weak equivalences of ).
Last revised on March 30, 2016 at 08:21:33. See the history of this page for a list of all contributions to it.