Soft Maximal Topologies
General Topology
2022-10-18 v2
Abstract
In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal and some are minimal with respect to certain soft topological properties. We study the properties of soft compact and soft connected topologies that are maximal. In particular, we prove that a maximal soft compact topology has identical families of soft compact and soft closed sets, and it is also soft .
Cite
@article{arxiv.2208.07691,
title = {Soft Maximal Topologies},
author = {Samer Al Ghour and Zanyar A. Ameen},
journal= {arXiv preprint arXiv:2208.07691},
year = {2022}
}