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A NOTE ON STAR COMPACT SPACES WITH POINT-COUNTABLE BASE

Part of: Fairly general properties

Published online by Cambridge University Press:  13 January 2010

YAN-KUI SONG
YAN-KUI SONG*
Affiliation:
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, PR China (email: songyankui@njnu.edu.cn)
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Abstract

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In this note we give an example of a Hausdorff, star compact space with point-countable base which is not metrizable.

Keywords

star compact spacepoint-countable base

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 493 - 495
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Engelking, E., General Topology, Revised and Completed Edition (Heldermann, Berlin, 1989).Google Scholar
[2]Song, Y.-K., ‘On 𝒦 starcompact spaces’, Bull. Malays. Math. Soc. (2) 30 (2007), 59–61.Google Scholar
[3]van Mill, J., Tkachuk, V. V. and Wilson, R. G, ‘Classes defined by stars and neighbourhood assignments’, Topology Appl. 154 (2007), 2127–2134.CrossRefGoogle Scholar