A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space)

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dc.contributor.authorRoberts, D.
dc.date.issued2016
dc.descriptionFirst Online: 26 October 2016. This is the published version of arXiv:1302.7019.
dc.description.abstractThe fundamental bigroupoid of a topological space is one way of capturing its homotopy 2-type. When the space is semilocally 2-connected, one can lift the construction to a bigroupoid internal to the category of topological spaces, as Brown and Danesh-Naruie lifted the fundamental groupoid to a topological groupoid. For locally relatively contractible spaces the resulting topological bigroupoid is locally trivial in a way analogous to the case of the topologised fundamental groupoid.
dc.description.statementofresponsibilityDavid Michael Roberts
dc.identifier.citationThe Journal of Homotopy and Related Structures, 2016; 11(4):923-942
dc.identifier.doi10.1007/s40062-016-0160-0
dc.identifier.issn1512-2891
dc.identifier.issn2193-8407
dc.identifier.orcidRoberts, D. [0000-0002-3478-0522]
dc.identifier.urihttp://hdl.handle.net/2440/102436
dc.language.isoen
dc.publisherSpringer-Verlag
dc.relation.granthttp://purl.org/au-research/grants/arc/DP120100106
dc.rights© Tbilisi Centre for Mathematical Sciences 2016
dc.source.urihttps://doi.org/10.1007/s40062-016-0160-0
dc.subjectFundamental bigroupoid; Homotopy 2-type; Topological bigroupoid
dc.titleA bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space)
dc.typeJournal article
pubs.publication-statusPublished

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