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arXiv · 2507.12044

Bicategories of Lax Fractions

Graham Manuell·Lurdes Sousa
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Abstract

The well-known calculus of fractions of Gabriel and Zisman provides a convenient way to formally invert morphisms in a category. This was generalised to bicategories by Pronk. We extend these constructions by presenting a calculus of lax fractions for 2-categories that formally turns given morphisms into left adjoint right inverses and given pseudo-commutative squares into Beck-Chevalley squares.

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Graham Manuell, Lurdes Sousa. 2025-07-16. Bicategories of Lax Fractions. https://arxiv.org/abs/2507.12044

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