Singular chains on topological stacks

Abstract

We extend the functor Sing of singular chains to the category of topological stacks and establish its main properties. We prove that Sing respects weak equivalences and takes a morphism of topological stacks that is both a Serre and a Reedy fibration to a Kan fibration of simplicial sets. When restricted to the category of topological spaces Sing coincides with the usual singular functor.

References in corpus (2)

• Higher Topos Theory
• Foundations of Topological Stacks I

Cited by in corpus (1)

• Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes