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

Aliakbar Alijani

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

General Topology 2023-06-13 v1

Authors: Aliakbar Alijani

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.

Keywords

topological complexity general topology topological properties

Cite

@article{arxiv.2211.04680,
  title  = {$*-$open sets and $*-$ continuity in topological spaces},
  author = {Aliakbar Alijani},
  journal= {arXiv preprint arXiv:2211.04680},
  year   = {2023}
}

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