TY - JOUR
ID - 4296
TI - Extracting some supra topologies from the topology of a topological space using stacks
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Talabeigi, Amin
AD - Department of Mathematics, Payame Noor University, P.O. Box, 19395-3697, Tehran, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 45
EP - 52
KW - supra closure operator
KW - supra topology
KW - supra topological space
KW - stack
DO - 10.22060/ajmc.2021.19123.1042
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_4296.html
L1 - https://ajmc.aut.ac.ir/article_4296_a119ab172dae103dc5c9686a269092cc.pdf
ER -