Boolean sets, skew Boolean algebras and a non-commutative Stone duality
Category Theory
2013-03-26 v1
Abstract
We describe right-hand skew Boolean algebras in terms of a class of presheaves of sets over Boolean algebras called Boolean sets, and prove a duality theorem between Boolean sets and etale spaces over Boolean spaces.
Cite
@article{arxiv.1303.5940,
title = {Boolean sets, skew Boolean algebras and a non-commutative Stone duality},
author = {Ganna Kudryavtseva and Mark V Lawson},
journal= {arXiv preprint arXiv:1303.5940},
year = {2013}
}