nLab
Ho(sSet)

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

The homotopy category/localization of sSet with respect to the weak homotopy equivalences.

The corresponding simplicial localization is the (∞,1)-category of ∞-groupoids/homotopy types.

category: category

Created on September 3, 2012 18:35:33 by Urs Schreiber (131.174.188.82)