Effective equivalence relations and principal quantales
Category Theory
2021-09-06 v2 Rings and Algebras
Abstract
Stably supported quantales generalize pseudogroups and provide an algebraic context in which to study the correspondences between inverse semigroups and \'etale groupoids. Here we study a further generalization where a non-unital version of supported quantale carries the algebraic content of such correspondences to the setting of open groupoids. A notion of principal quantale is introduced which, in the case of groupoid quantales, corresponds precisely to effective equivalence relations.
Cite
@article{arxiv.1807.08979,
title = {Effective equivalence relations and principal quantales},
author = {Juan Pablo Quijano and Pedro Resende},
journal= {arXiv preprint arXiv:1807.08979},
year = {2021}
}
Comments
v2 contains new preliminary material in the introduction