• 제목/요약/키워드: star-$Lindel{\ddot{o}}f$

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SOME REMARKS ON CENTERED-LINDELÖF SPACES

  • Song, Yan-Kui
    • 대한수학회논문집
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    • 제24권2호
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    • pp.277-280
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    • 2009
  • In this paper, we prove the following two statements: (1) There exists a Hausdorff locally $Lindel{\ddot{o}}f$ centered-$Lindel{\ddot{o}}f$ space that is not star-$Lindel{\ddot{o}}f$. (2) There exists a $T_1$ locally compact centered-$Lindel{\ddot{o}}f$ space that is not star-$Lindel{\ddot{o}}f$. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].