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.