Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2010.08.09
  • Accepted : 2011.02.15
  • Published : 2011.03.30
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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.

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