SOME REMARKS ON CENTERED-LINDELÖF SPACES

• Song, Yan-Kui (DEPARTMENT OF MATHEMATICS NANJING NORMAL UNIVERSITY)
• Published : 2009.04.30

Abstract

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].

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