Document Type : Research Paper
Authors
- Amin Talabeigi ^{} ^{} ^{1}
- Maryam Talabeigi ^{2}
^{1} Department of Mathematics, Payame Noor University(PNU), P.O.Box, 19395-4697, Tehran, Iran.
^{2} Department of Electrical Computer Engineering, instructor of girls Kosar Sirjan branch, Technical and Vocational University (TVU), Kerman, Iran.
Abstract
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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