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http://dx.doi.org/10.14403/jcms.2011.24.1.4

THE CONVERGENCE OF δ-FILTERS

Lee, Seung On (Department of Mathematics Chungbuk National University)
Oh, Ji Hyun (Department of Mathematics Chungbuk National University)
Yun, Sang Min (Department of Mathematics Chungbuk National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.1, 2011 , pp. 35-43 More about this Journal

Abstract

In this paper we define the convergence of ${\delta}$ -filters and study them. We show that ${\delta}$ -filters on a Hausdorff space X converge at most one point in X. We also show that in a P-space X, ${\delta}$ -filters on X converge at most one point in X if and only if X is a Hausdorff space.

Keywords

filters; ${\delta}$ -filters; convergence of ${\delta}$ -filters;

Citations & Related Records

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