On infinite variants of De Morgan law in locale theory
General Topology
2020-08-04 v1 Category Theory
Logic
Abstract
A locale, being a complete Heyting algebra, satisfies De Morgan law for pseudocomplements. The dual De Morgan law (here referred to as the second De Morgan law) is equivalent to, among other conditions, , and characterizes the class of extremally disconnected locales. This paper presents a study of the subclasses of extremally disconnected locales determined by the infinite versions of the second De Morgan law and its equivalents.
Keywords
Cite
@article{arxiv.2001.09143,
title = {On infinite variants of De Morgan law in locale theory},
author = {Igor Arrieta},
journal= {arXiv preprint arXiv:2001.09143},
year = {2020}
}