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 | References | Similar Articles | Additional Information

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

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