English

An adjunction between a category of complete restriction monoids and a category of \'etale categories

Category Theory 2023-03-10 v1

Abstract

We prove that there is an adjunction between what we call \'etale topological categories and restriction quantal frames that leads to an adjunction with a category of complete restriction monoids. This generalizes the adjunction between \'etale groupoids and pseudogroups.

Keywords

Cite

@article{arxiv.2303.05188,
  title  = {An adjunction between a category of complete restriction monoids and a category of \'etale categories},
  author = {Mark V. Lawson},
  journal= {arXiv preprint arXiv:2303.05188},
  year   = {2023}
}