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dc.contributor.authorNoohi, Ben_US
dc.date.accessioned2017-12-14T16:16:36Z
dc.date.available2013-11-18en_US
dc.date.issued2014-02-15en_US
dc.date.submitted2017-12-07T10:30:48.566Z
dc.identifier.issn0001-8708en_US
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/30403
dc.description.abstractIn this note we define fibrations of topological stacks and establish their main properties. When restricted to topological spaces, our notion of fibration coincides with the classical one. We prove various standard results about fibrations (long exact sequence for homotopy groups, Leray–Serre and Eilenberg–Moore spec- tral sequences, etc.). We prove various criteria for a morphism of topological stacks to be a fibration, and use these to produce examples of fibrations. We prove that every morphism of topological stacks factors through a fibration and construct the homotopy fiber of a morphism of topological stacks. As an immediate consequence of the machinery we develop, we also prove van Kampen’s theorem for fundamental groups of topological stacks.en_US
dc.format.extent612 - 640 (29)en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAdvances in Mathematicsen_US
dc.titleFibrations of topological stacksen_US
dc.typeArticle
dc.rights.holder© 2013 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.aim.2013.11.008en_US
pubs.author-urlhttp://www.sciencedirect.com/science/article/pii/S0001870813004301en_US
pubs.notesNot knownen_US
pubs.publication-statusPublisheden_US
pubs.publisher-urlhttp://www.sciencedirect.com/science/article/pii/S0001870813004301en_US
pubs.volume252en_US
dcterms.dateAccepted2013-11-18en_US


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