Basic constructions in the categories of sets, sets with a binary relation on them, preorders, and posets
Category Theory
2023-06-14 v2
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.
Keywords
Cite
@article{arxiv.2302.10321,
title = {Basic constructions in the categories of sets, sets with a binary relation on them, preorders, and posets},
author = {Ignacio Viglizzo},
journal= {arXiv preprint arXiv:2302.10321},
year = {2023}
}