nLab higher homotopy

Contents

Context

Homotopy theory

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

Contents

Definition

A homotopy of homotopies, existing in higher homotopy n n -types of higher nn.

Last revised on May 7, 2022 at 11:24:05. See the history of this page for a list of all contributions to it.