A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space)
Date
2016
Authors
Roberts, D.
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Journal article
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The Journal of Homotopy and Related Structures, 2016; 11(4):923-942
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David Michael Roberts
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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.
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First Online: 26 October 2016.
This is the published version of arXiv:1302.7019.
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© Tbilisi Centre for Mathematical Sciences 2016