Construction of categorical bundles from local data
Theory and applications of categories, Tome 31 (2016), pp. 388-417
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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
Keywords: Categorical Groups, 2-Groups, Categorical geometry, Principal bundles
@article{TAC_2016_31_a13,
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
title = {Construction of categorical bundles from local data},
journal = {Theory and applications of categories},
pages = {388--417},
year = {2016},
volume = {31},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a13/}
}
TY - JOUR AU - Saikat Chatterjee AU - Amitabha Lahiri AU - Ambar N. Sengupta TI - Construction of categorical bundles from local data JO - Theory and applications of categories PY - 2016 SP - 388 EP - 417 VL - 31 UR - http://geodesic.mathdoc.fr/item/TAC_2016_31_a13/ LA - en ID - TAC_2016_31_a13 ER -
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/