[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.2.15

THE UNIFORM DISTANCE SYSTEM WITH THE SYMMETRIC DISTANCE FUNCTION

Kim, Seungwook (Department of Mathematics, Hankuk University of Foreign Studies)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.2, 2011 , pp. 303-311 More about this Journal

Abstract

Every topology is generated by a quasi-uniform distance system. The quasi-uniform distance system is a uniform distance system. The topology is uniformizable if and only if it is generated by the uniform distance system with the symmetric distance function.

Keywords

distance system; quasi-uniform space; quasi-uniformizable; uniform space; uniformizable; symmetric distance function;

Citations & Related Records

Reference

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