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http://dx.doi.org/10.14403/jcms.2015.28.3.431

THETA TOPOLOGY AND ITS APPLICATION TO THE FAMILY OF ALL TOPOLOGIES ON X  

KIM, JAE-RYONG (Department of Mathematics Kookmin University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.3, 2015 , pp. 431-441 More about this Journal
Abstract
Topology may described a pattern of existence of elements of a given set X. The family ${\tau}(X)$ of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ${\tau}(X)$ using a topology on X and regard ${\tau}(X)$ a topological space. Our purpose of this study is to give new topologies on the family ${\tau}(X)$ of all topologies induced by old one and its ${\theta}$ topology and to compare them.
Keywords
comparison of topologies; ${\theta}$ topology; semi-regular space;
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Times Cited By KSCI : 2  (Citation Analysis)
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