arXiv Analytics

Sign in

arXiv:2211.04680 [math.GN]AbstractReferencesReviewsResources

$*-$open sets and $*-$ continuity in topological spaces

Aliakbar Alijani

Published 2022-11-09Version 1

In this paper, we study some properties of $*-$open and $*-$closed subsets of a space. The collection of all $*-$open subsets of a space $X$ form a topology on $X$ which is denoted by $^{*}O(X)$. We investigate the relations between topological properties of $X$ with the topology $^{*}O(X)$ and $X$. Also, we introduce the concept of a $*-$continuous map.

Related articles: Most relevant | Search more
arXiv:2412.12554 [math.GN] (Published 2024-12-17)
Towards a Unified Framework for Bioperations on $e^\star$-Open Sets in Topological Spaces
arXiv:1004.2874 [math.GN] (Published 2010-03-20, updated 2010-08-16)
A new compact class of open sets under Hausdorff distance and shape optimization
arXiv:2211.09994 [math.GN] (Published 2022-11-18)
On $k$-ranks of topological spaces