THE CONVERGENCE OF (cid:14)-FILTERS

Abstract

In this paper we define the convergence of (cid:14)-filters and study them. We show that (cid:14)-filters on a Hausdorff space X converge at most one point in X. We also show that in a P -space X, (cid:14)-filters on X converge at most one point in X if and only if X is a Hausdorff space.

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