The weakly globular double category of fractions of a category

Simona Paoli, Dorette Pronk

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.

Keywords: double categories, strict 2-categories, bicategories, pseudo-functors, companions, conjoints, localizations, bicategories of fractions

2010 MSC: 18D05, 18E35

Theory and Applications of Categories, Vol. 29, 2014, No. 25, pp 695-774.

Published 2014-10-29.

http://www.tac.mta.ca/tac/volumes/29/25/29-25.pdf

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