%0 Journal Article
%T Extracting some supra topologies from the topology of a topological space using stacks
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Talabeigi, Amin
%D 2022
%\ 02/01/2022
%V 3
%N 1
%P 45-52
%! Extracting some supra topologies from the topology of a topological space using stacks
%K supra closure operator
%K supra topology
%K supra topological space
%K stack
%R 10.22060/ajmc.2021.19123.1042
%X 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.
%U https://ajmc.aut.ac.ir/article_4296_a119ab172dae103dc5c9686a269092cc.pdf