Geodesic
The semi-T 3 -separation axiom of Khalimsky topological spaces
Filomat, Tome 37 (2023) no. 8, p. 2539

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

DOI

The paper initially studies both the s-T 3-separation and the semi-T 3-separation axiom of Khalim-sky (K-for brevity) topological spaces. To do this work, first we investigate some properties of semi-open and semi-closed sets with respect to the operations of union or intersection and further, a homeomorphism, and a semi-homeomorphism. Next, we study various properties of semi-topological properties of K-topological spaces such as simple K-paths. Finally, after introducing the notion of a semi-T 3-separation axiom which is broader than the s-T 3-separation axiom, we find a sufficient and necessary condition for a Khalimsky topological space to satisfy the semi-T 3-separation axiom.
DOI : 10.2298/FIL2308539H
Classification : 54A05, 54D10, 54F05, 54C08, 54C10, 54F65
Keywords: Semi-open, semi-closed, semi-T3-space, s-T3-space, Alexandroff space, semi-regular, semi-T1-space, semi-T2-space, Khalimsky topology, semi-homeomorphism, s-regular, semi-regular 
Sang-Eon Han; Selmä Ozçag. The semi-T 3 -separation axiom of Khalimsky topological spaces. Filomat, Tome 37 (2023) no. 8, p. 2539 . doi: 10.2298/FIL2308539H
@article{10_2298_FIL2308539H,
     author = {Sang-Eon Han and Selm\"a Oz\c{c}ag},
     title = {The {semi-T} 3 -separation axiom of {Khalimsky} topological spaces},
     journal = {Filomat},
     pages = {2539 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308539H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308539H/}
}
TY  - JOUR
AU  - Sang-Eon Han
AU  - Selmä Ozçag
TI  - The semi-T 3 -separation axiom of Khalimsky topological spaces
JO  - Filomat
PY  - 2023
SP  - 2539 
VL  - 37
IS  - 8
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2308539H/
DO  - 10.2298/FIL2308539H
LA  - en
ID  - 10_2298_FIL2308539H
ER  - 
%0 Journal Article
%A Sang-Eon Han
%A Selmä Ozçag
%T The semi-T 3 -separation axiom of Khalimsky topological spaces
%J Filomat
%D 2023
%P 2539 
%V 37
%N 8
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2308539H/
%R 10.2298/FIL2308539H
%G en
%F 10_2298_FIL2308539H

Cité par Sources :