Singular chains on topological stacks, I
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Volume
303
Pagination
1190 - 1235 (46)
Publisher
Publisher URL
DOI
10.1016/j.aim.2016.08.037
Journal
Advances in Mathematics
ISSN
0001-8708
Metadata
Show full item recordAbstract
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.
Authors
NOOHI, B; Coyne, TCollections
- Pure Mathematics [67]