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.
机构:
Department of Mathematics, Faculty of Natural Sciences, Matej Bel UniversityDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel University
L'ubomír Snoha
Xiangdong Ye
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机构:
School of Mathematical Sciences, University of Science and Technology of ChinaDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel University
Xiangdong Ye
Ruifeng Zhang
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机构:
School of Mathematics, Hefei University of TechnologyDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel University