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https://hdl.handle.net/2440/102436
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Type: | Journal article |
Title: | A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space) |
Author: | Roberts, D. |
Citation: | The Journal of Homotopy and Related Structures, 2016; 11(4):923-942 |
Publisher: | Springer-Verlag |
Issue Date: | 2016 |
ISSN: | 1512-2891 2193-8407 |
Statement of Responsibility: | David Michael Roberts |
Abstract: | The 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. |
Keywords: | Fundamental bigroupoid; Homotopy 2-type; Topological bigroupoid |
Description: | First Online: 26 October 2016. This is the published version of arXiv:1302.7019. |
Rights: | © Tbilisi Centre for Mathematical Sciences 2016 |
DOI: | 10.1007/s40062-016-0160-0 |
Grant ID: | http://purl.org/au-research/grants/arc/DP120100106 |
Published version: | http://dx.doi.org/10.1007/s40062-016-0160-0 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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