Bicategories of Lax Fractions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912907311185920 |
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| author | Manuell, Graham Sousa, Lurdes |
| author_facet | Manuell, Graham Sousa, Lurdes |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12044 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bicategories of Lax Fractions Manuell, Graham Sousa, Lurdes Category Theory 18E35, 18N10, 18A40 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. |
| title | Bicategories of Lax Fractions |
| topic | Category Theory 18E35, 18N10, 18A40 |
| url | https://arxiv.org/abs/2507.12044 |