Geodesic
Extensions of soft topologies
Filomat, Tome 36 (2022) no. 15, p. 5279

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we introduce the construction of extending a soft topological space with respect to a family of soft subsets from a given soft topological space. We focus on studying this extension when the family consists of a single soft set. We show that the extended soft topological space is not uniquely determined. We further study the conditions under which certain soft topological properties are shared between the extended soft topology and the original one. Lastly, applying a soft point theory, we see that the obtained results are parallel to those results that exist in classical topology, and by Terepeta's Theorem, our results are natural generalizations.
DOI : 10.2298/FIL2215279A
Classification : 54A99, 54D35
Keywords: Soft topology, soft simple extension, soft Ti-spaces, soft regular, soft normal, soft compact, soft separable 
Zanyar A Ameen; Samer Al Ghour. Extensions of soft topologies. Filomat, Tome 36 (2022) no. 15, p. 5279 . doi: 10.2298/FIL2215279A
@article{10_2298_FIL2215279A,
     author = {Zanyar A Ameen and Samer Al Ghour},
     title = {Extensions of soft topologies},
     journal = {Filomat},
     pages = {5279 },
     year = {2022},
     volume = {36},
     number = {15},
     doi = {10.2298/FIL2215279A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2215279A/}
}
TY  - JOUR
AU  - Zanyar A Ameen
AU  - Samer Al Ghour
TI  - Extensions of soft topologies
JO  - Filomat
PY  - 2022
SP  - 5279 
VL  - 36
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2215279A/
DO  - 10.2298/FIL2215279A
LA  - en
ID  - 10_2298_FIL2215279A
ER  - 
%0 Journal Article
%A Zanyar A Ameen
%A Samer Al Ghour
%T Extensions of soft topologies
%J Filomat
%D 2022
%P 5279 
%V 36
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2215279A/
%R 10.2298/FIL2215279A
%G en
%F 10_2298_FIL2215279A

Cité par Sources :