**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 homotopy of homotopies, existing in higher homotopy $n$-types of higher $n$.

Last revised on May 7, 2022 at 15:24:05. See the history of this page for a list of all contributions to it.