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

David Michael Roberts

doi:10.1007/s40062-016-0160-0

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arXiv · 1302.7019

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

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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David Michael Roberts. 2016-10-08. A bigroupoid's topology (or, Topologising the homotopy bigroupoid of a space). https://doi.org/10.1007/s40062-016-0160-0

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