INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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Principal bundles, groupoids, and connections

Anders Kock¹
Banach Center Publ. 76 (2007), 185-200

Abstract: We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.


MSC (2000): 51K10, 53C05, 58H05, 20L05.

1. Department of Mathematical Sciences
   University of Aarhus
   DK 8000 Aarhus C, Denmark
   

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