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    Singular chains on topological stacks, I 
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    Singular chains on topological stacks, I

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    Accepted Version (450.5Kb)
    Volume
    303
    Pagination
    1190 - 1235 (46)
    Publisher
    Elsevier
    Publisher URL
    http://dx.doi.org/10.1016/j.aim.2016.08.037
    DOI
    10.1016/j.aim.2016.08.037
    Journal
    Advances in Mathematics
    ISSN
    0001-8708
    Metadata
    Show full item record
    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.
    Authors
    NOOHI, B; Coyne, T
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/15717
    Collections
    • Pure Mathematics [62]
    Licence information
    This is a pre-copyedited, author-produced PDF of an article accepted for publication in Advances in Mathematics following peer review. The version of record is available online at: https://arxiv.org/abs/1502.04995
    Copyright statements
    © 2016 Elsevier Ltd
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