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http://dx.doi.org/10.4134/CKMS.2009.24.2.277

SOME REMARKS ON CENTERED-LINDELÖF SPACES  

Song, Yan-Kui (DEPARTMENT OF MATHEMATICS NANJING NORMAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.2, 2009 , pp. 277-280 More about this Journal
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].
Keywords
star-$Lindel{\ddot{o}}f$; centered-$Lindel{\ddot{o}}f$;
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