Title : ( Some results on Baireness in generalized topological spaces )
Authors: ahmad delfan , Seyyed Alireza Kamel Mirmostafaee ,
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Abstract
The aim of this paper is to extend some results on the Baire category in generalized topological spaces. We will apply the Banach-Mazur game to characterize Baireness in generalized topological spaces. Moreover, we will introduce a new separation axiom for generalized topological spaces which provides opportunity to generalize the Banach category theorem for locally compact generalized topological spaces.
Keywords
, Baire space, generalized topological space, separation axioms
@article{paperid:1089891,
author = {Delfan, Ahmad and Kamel Mirmostafaee, Seyyed Alireza},
title = {Some results on Baireness in generalized topological spaces},
journal = {Mathematica},
year = {2023},
volume = {65 (88)},
number = {2},
month = {December},
issn = {1222-9016},
pages = {242--248},
numpages = {6},
keywords = {Baire space; generalized topological space; separation axioms},
}
%0 Journal Article
%T Some results on Baireness in generalized topological spaces
%A Delfan, Ahmad
%A Kamel Mirmostafaee, Seyyed Alireza
%J Mathematica
%@ 1222-9016
%D 2023
