@article {
author = {Talabeigi, Amin},
title = {Extracting some supra topologies from the topology of a topological space using stacks},
journal = {AUT Journal of Mathematics and Computing},
volume = {3},
number = {1},
pages = {45-52},
year = {2022},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2021.19123.1042},
abstract = {A collection $\mu$ of subsets of a nonempty set $X$ is a supra topology on $X$ whenever $\emptyset$ and $X$ belong to $\mu$, and also $\mu$ is closed under arbitrary unions. Also, a nonempty collection $\mathcal{S}$ of nonempty subsets of a nonempty set $X$ is called a stack on $X$ whenever it is closed under operation superset. In this paper, we are going to introduce an approach to extract some supra topologies from the topology of a topological space. For this purpose, we consider a topological space $(X, \tau)$ with a closed set $P$ of its subsets. Using a stack $\mathcal{S}$ on the space $(X, \tau)$ and the closure operator $cl$ associated with $\tau$, we define a supra closure operator $\lambda_P$ on $X$ to create the desired supra topology. We then characterize the form of this resulting supra topology and also determine its relationship to the initial topology of the space.},
keywords = {supra closure operator,supra topology,supra topological space,stack},
url = {https://ajmc.aut.ac.ir/article_4296.html},
eprint = {https://ajmc.aut.ac.ir/article_4296_7e967a99aed521365e5048b79e71c0e5.pdf}
}