SOME REMARKS ON CENTERED-LINDELÖF SPACES

Title & Authors
SOME REMARKS ON CENTERED-LINDELÖF SPACES
Song, Yan-Kui;

Abstract
In this paper, we prove the following two statements: (1) There exists a Hausdorff locally $\small{Lindel{\ddot{o}}f}$ centered-$\small{Lindel{\ddot{o}}f}$ space that is not star-$\small{Lindel{\ddot{o}}f}$. (2) There exists a $\small{T_1}$ locally compact centered-$\small{Lindel{\ddot{o}}f}$ space that is not star-$\small{Lindel{\ddot{o}}f}$. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].
Keywords
star-$\small{Lindel{\ddot{o}}f}$;centered-$\small{Lindel{\ddot{o}}f}$;
Language
English
Cited by
1.
CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON OPEN SET,;

대한수학회보, 2014. vol.51. 3, pp.641-651
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