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arXiv · 2302.10321

Basic constructions in the categories of sets, sets with a binary relation on them, preorders, and posets

Ignacio Viglizzo
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Abstract

The purpose of this note is to work out the details of the concrete incarnation of a few categorical constructions (products, coproducts, pullbacks, pushouts, equalizers, coequalizers, and exponentials) in some useful and basic categories: the categories of sets, sets endowed with a binary relation, preorders, and posets.

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Ignacio Viglizzo. 2023-02-20. Basic constructions in the categories of sets, sets with a binary relation on them, preorders, and posets. https://arxiv.org/abs/2302.10321

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