Geodesic
Construction of categorical bundles from local data
Theory and applications of categories, Tome 31 (2016), pp. 388-417.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.
Publié le :
Classification : Primary: 18D05, Secondary: 20C99
Keywords: Categorical Groups, 2-Groups, Categorical geometry, Principal bundles 
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Saikat Chatterjee; Amitabha Lahiri; Ambar N. Sengupta. Construction of categorical bundles from local data. Theory and applications of categories, Tome 31 (2016), pp. 388-417. http://geodesic.mathdoc.fr/item/TAC_2016_31_a13/