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arXiv · 1306.6523

An observation on n-permutability

Nelson Martins-Ferreira·Diana Rodelo·Tim Van der Linden
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Abstract

We prove that in a regular category all reflexive and transitive relations are symmetric if and only if every internal category is an internal groupoid. In particular, these conditions hold when the category is n-permutable for some n.

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Nelson Martins-Ferreira, Diana Rodelo, Tim Van der Linden. 2013-06-27. An observation on n-permutability. https://arxiv.org/abs/1306.6523

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