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Construction of categorical bundles from local data

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Saikat Chatterjee, Amitabha Lahiri,
and Ambar N. Sengupta

A categorical principal bundle is a structure comprised of categories that
is analogous to a classical principal bundle; examples arise from
geometric contexts involving bundles over path spaces. We show how a
categorical principal bundle can be constructed from local data specified
through transition functors and natural transformations.

Keywords:
Categorical Groups; 2-Groups; Categorical geometry; Principal
bundles

2010 MSC:
Primary: 18D05; Secondary: 20C99

*Theory and Applications of Categories,*
Vol. 31, 2016,
No. 14, pp 388-417.

Published 2016-05-13.

http://www.tac.mta.ca/tac/volumes/31/14/31-14.pdf

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