@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 µ of subsets of a nonempty set X is a supra topology on X whenever ∅ and X belong to µ, and also µ is closed under arbitrary unions. Also, a nonempty collection 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, τ ) with a closed set P of its subsets. Using a stack S on the space (X, τ ) and the closure operator cl associated with τ , we define a supra closure operator λP 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_a119ab172dae103dc5c9686a269092cc.pdf}
}