A Generalization of the Stone Duality Theorem
General Topology
2016-03-04 v1
Abstract
We prove a new duality theorem for the category of precontact algebras which implies the Stone Duality Theorem, its connected version obtained in arXiv:1508.02220v3, 1-44 (to appear in Topology Appl.), the recent duality theorems of Bezhanishvili, G., Bezhanishvili, N., Sourabh, S., Venema, Y. and Goldblatt, R. and Grice, M, and some new duality theorems for the category of contact algebras and for the category of complete contact algebras.
Cite
@article{arxiv.1603.00932,
title = {A Generalization of the Stone Duality Theorem},
author = {G. Dimov and E. Ivanova-Dimova and D. Vakarelov},
journal= {arXiv preprint arXiv:1603.00932},
year = {2016}
}
Comments
29 pages. arXiv admin note: substantial text overlap with arXiv:1508.02220