Categorical aspects of congruence distributivity
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929206172057600 |
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| author | Hoefnagel, Michael Rodelo, Diana |
| author_facet | Hoefnagel, Michael Rodelo, Diana |
| contents | We study a categorical condition on relations, which is a categorical formulation of Jónsson's characterisation of congruence distributive varieties. Categories satisfying these conditions need not be varieties; for instance, the dual of the categories of topological spaces, ordered sets, $G$-sets, and the dual of any (pre)topos all provide us with examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Categorical aspects of congruence distributivity Hoefnagel, Michael Rodelo, Diana Category Theory 08B05, 08B10, 18E08, 18E13 We study a categorical condition on relations, which is a categorical formulation of Jónsson's characterisation of congruence distributive varieties. Categories satisfying these conditions need not be varieties; for instance, the dual of the categories of topological spaces, ordered sets, $G$-sets, and the dual of any (pre)topos all provide us with examples. |
| title | Categorical aspects of congruence distributivity |
| topic | Category Theory 08B05, 08B10, 18E08, 18E13 |
| url | https://arxiv.org/abs/2401.05325 |