论文标题

$* - $开放式和$* - $* - $* - 拓扑空间中的连续性

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

论文作者

Alijani, Aliakbar

论文摘要

在本文中,我们研究了$* - $开放的一些属性和$* - $ $封闭的空间子集。所有$* - $开放子集的集合$ x $形成$ x $的拓扑,该拓扑用$^{*} o(x)$表示。我们研究了$ x $的拓扑属性与拓扑$^{*} o(x)$和$ x $之间的关系。另外,我们介绍了$* - $连续地图的概念。

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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