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The Weakly Globular Double Category of Fractions of a Category

2014/06/18 by Simona Paoli, Paoli, Simona, Dorette Pronk +1
Mathematics · #18D05 #18E35 #18G30 #18G55 #Category Theory (math.CT) #FOS: Mathematics #math.CT #msc:18D05 #msc:18E35 #msc:18G30 #msc:18G55

paper · pdf · doi:10.48550/arxiv.1406.4791

73 pages. arXiv admin note: substantial text overlap with arXiv:1210.4056

arxiv created 2014/06/18 · arxiv updated 2014/06/19

Abstract

This paper introduces the construction of a weakly globular double category of fractions for a category and studies its universal properties. It shows that this double category is locally small and considers a couple of concrete examples.

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