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Construction of Categorical Bundles from Local Data

2016/02/12 by Saikat Chatterjee, Chatterjee, Saikat, Amitabha Lahiri +3
Computer Science · Mathematics · #Category Theory (math.CT) #Constraint Satisfaction and Optimization #FOS: Mathematics #Primary: 18D05 #Representation Theory (math.RT) #Secondary: 20C99 #math.CT #math.RT #msc:18D05 #msc:20C99

paper · pdf · doi:10.48550/arxiv.1602.04163

27 pages

arxiv created 2016/02/12 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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