Contents

# Contents

## Idea

A simplicial weak equivalence is a weak equivalence in the standard homotopy theory of simplicial sets, hence with respect to the classical model structure on simplicial sets.

## Definition

A morphism $f$ between simplicial sets is a simplicial weak equivalence if any of the following equivalent conditions is satisfied (where $Ex^\infty$ denotes Kan fibrant replacement):

Last revised on February 9, 2021 at 03:58:20. See the history of this page for a list of all contributions to it.