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학술저널

THE CONVERGENCE OF -FILTERS

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

1. Introduction

2. Preliminaries

3. The convergence of - lters

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