nLab
homotopical functor

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 homotopical functor F:CDF : C \to D between two homotopical categories CC and DD is a functor which preserves the weak equivalences of CC (i.e., which sends all weak equivalences of CC to weak equivalences of DD).

Last revised on March 30, 2016 at 04:21:33. See the history of this page for a list of all contributions to it.