• 제목/요약/키워드: convergence of ${\delta}$-filters

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THE CONVERGENCE OF δ-FILTERS

  • Lee, Seung On;Oh, Ji Hyun;Yun, Sang Min
    • 충청수학회지
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    • 제24권1호
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    • pp.35-43
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    • 2011
  • 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.