An Approach to Change the Topology of a Topological Space
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 $\mathcal{G}$ on the space $(...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_254339_7e881e561c422471177c3588c1ac0ca6.pdf |
| Summary: | 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 $\mathcal{G}$ 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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| ISSN: | 2322-5807 2423-3900 |