Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425030 | Advances in Mathematics | 2016 | 46 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Thomas Coyne, Behrang Noohi,