Principal bundles, groupoids, and connections
Anders Kock
Banach Center Publications, Tome 75 (2007), p. 185-200 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282251
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     author = {Anders Kock},
     title = {Principal bundles, groupoids, and connections},
     journal = {Banach Center Publications},
     volume = {75},
     year = {2007},
     pages = {185-200},
     zbl = {1121.51012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-8}
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Anders Kock. Principal bundles, groupoids, and connections. Banach Center Publications, Tome 75 (2007) pp. 185-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-8/