On Ehresmann semigroups
Category Theory
2021-04-21 v2
Abstract
We formulate an alternative approach to describing Ehresmann semigroups by means of left and right \'etale actions of a meet semilattice on a category. We also characterize the Ehresmann semigroups that arise as the set of all subsets of a finite category. As applications, we prove that every restriction semigroup can be nicely embedded into a restriction semigroup constructed from a category, and we describe when a restriction semigroup can be nicely embedded into an inverse semigroup.
Cite
@article{arxiv.2102.12250,
title = {On Ehresmann semigroups},
author = {Mark V Lawson},
journal= {arXiv preprint arXiv:2102.12250},
year = {2021}
}