An Approach to Change the Topology of a Topological Space

被引:1
|
作者
Talabeigi, Amin [1 ]
Talabeigi, Maryam [2 ,3 ]
机构
[1] Payame Noor Univ PNU, Dept Math, POB 19395-4697, Tehran, Iran
[2] Tech & Vocat Univ TVU, Dept Elect Comp Engn, Kerman, Iran
[3] Tech & Vocat Univ TVU, Kosar Sirjan branch, Kerman, Iran
来源
关键词
Kuratowski closure operator; grill; coarster topology; ex-tension topology; one-point extension topology;
D O I
10.22130/scma.2022.132038.842
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology). For this purpose, we consider a topological space (X, tau) with a closed point p of its points. Using a grill G on the space (X, tau) and the closure operator associated with tau, we define a Kuratowski closure operator cl* p on X to create the desired topology. We then characterize the form of this resulting topology and also determine its relationship to the initial topology of the space.
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页码:55 / 63
页数:10
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