[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2018.31.1.387

COMPARISON OF TOPOLOGIES ON THE FAMILY OF ALL TOPOLOGIES ON X

Kim, Jae-Ryong (Department of Information Security, Cryptology, and Mathematics Kookmin University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.31, no.4, 2018 , pp. 387-396 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 fixed topology on X and we will regard ${\tau}(X)$ a topological space. Our purpose of this study is to comparison new topologies on the family ${\tau}(X)$ of all topologies induced old one.

Keywords

comparison of topologies; topology field; ${\theta}$ topology; semi-regular space;

Citations & Related Records

Reference

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