#
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.

Created on September 3, 2012 18:35:33
by

Urs Schreiber
(131.174.188.82)