Gr\"atzer-Hofmann-Lawson-Jung-S\"underhauf Duality
General Topology
2020-02-25 v1 Category Theory
Logic
Rings and Algebras
Abstract
We unify several extensions of the classic Stone duality due to Gr\"atzer, Hoffman-Lawson and Jung-S\"underhauf. Specifically we show that U-bases of locally compact sober spaces are dual to <-distributive v-predomains, where < is a transitive relation representing compact containment.
Cite
@article{arxiv.2002.09873,
title = {Gr\"atzer-Hofmann-Lawson-Jung-S\"underhauf Duality},
author = {Tristan Bice},
journal= {arXiv preprint arXiv:2002.09873},
year = {2020}
}