KC-bitopological spaces

KC-bitopological spaces

A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the prop...

Full description

Saved in:
Bibliographic Details
Main Authors: Hamza Qoqazeh, Ali Atoom, Maryam Alholi, Eman ALmuhur, Eman Hussein, Anas Owledat, Abeer Al-Nana
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
bitopological space
$ kc $-spaces
$ p $-$ kc $-spaces
$ k $-function
compact function
$ p $-hausdorff
$ p $-compact
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241545?viewType=HTML
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on $ KC $-bitopological spaces and pairwise $ KC $-topological spaces. Several examples are discussed, and many well-known theories are generalized.
ISSN:2473-6988

Similar Items