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

Aliakbar Alijani

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arXiv · 2211.04680

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

Aliakbar Alijani

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Abstract

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.

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BibTeX RIS

Aliakbar Alijani. 2022-11-09. $*-$open sets and $*-$ continuity in topological spaces. https://arxiv.org/abs/2211.04680

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