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arXiv · 2401.05325

Categorical aspects of congruence distributivity

Michael Hoefnagel·Diana Rodelo
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Abstract

We study a categorical condition on relations, which is a categorical formulation of J\'onsson'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.

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Michael Hoefnagel, Diana Rodelo. 2024-01-10. Categorical aspects of congruence distributivity. https://arxiv.org/abs/2401.05325

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