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On normal covers of locally compact spaces

Published online by Cambridge University Press:  17 April 2009

Yukinobu Yajima
Yukinobu Yajima
Affiliation:
Department of MathematicsKanagawa University3-27-1 Rokkakubashi Yokahama 221, Japan
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Abstract

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In this paper, we deal with the following question: What kind of open covers are normal if they have cushioned open refinements? For this, we prove that an open cover consisting of members with compact closure is a desired one.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 343 - 347
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Burke, D.K., ‘Covering properties’, in Handbook of Set Theoretic Topology, Edited by Kunen, K. and Vaughan, J.E., pp. 347–422 (North-Holland, Amsterdam, 1984).Google Scholar
[2]Gruenhage, G., ‘Games, covering properties and Eberlein compacts’, Topology Appl. 23 (1986), 291–297.Google Scholar
[3]Jiang, S., ‘On a Junnila's problem’, Q & A in General topology 6 (1988), 43–47.Google Scholar
[4]Michael, E., ‘Yet another note on paracompact spaces’, Proc. Amer. Math. Soc. 10 (1959), 309–314.Google Scholar
[5]Morita, K., ‘Paracompactness and product spaces’, Fund. Math. 50 (1962), 223–236.Google Scholar
[6]Morita, K., ‘Products of normal spaces with metric spaces’, Ann. of Math. 154 (1964), 365–382.Google Scholar
[7]Yajima, Y., ‘A characterization of normal covers of a normal space’, Glas. Mate. 18 (1983), 331–334.Google Scholar
[8]Yajima, Y., ‘A characterization of normal covers of a normal space II’, Glas. Mate. 24 (1989), 401–403.Google Scholar