The Weakly Globular Double Category of Fractions of a Category
Simona Paoli, Dorette Pronk
TL;DR
This paper constructs a weakly globular double category of fractions for a category, exploring its universal properties, local smallness, and providing concrete examples to illustrate its concepts.
Contribution
It introduces a novel weakly globular double category framework for fractions, expanding the categorical tools available for localization and fraction constructions.
Findings
The double category is locally small.
Universal properties are established.
Concrete examples demonstrate the construction.
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology