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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A normal screenable
nonparacompact space in ZFC


Author: Zoltan T. Balogh
Journal: Proc. Amer. Math. Soc. 126 (1998), 1835-1844
MSC (1991): Primary 54D15, 54D20; Secondary 54G20
MathSciNet review: 1459105
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Abstract: We construct a normal, screenable, nonparacompact space in ZFC. The existence of such a space is also known to imply that there is a normal, screenable space which is not collectionwise normal.


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Additional Information

Zoltan T. Balogh
Affiliation: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45058
Email: ZTBalogh@miavx1.muohio.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04425-6
PII: S 0002-9939(98)04425-6
Keywords: Normal, screenable, paracompact, collectionwise normal
Received by editor(s): March 5, 1996
Additional Notes: The author’s research was partially supported by NSF Grant DMS-9623391
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1998 American Mathematical Society