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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A normal screenable nonparacompact space in ZFC
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by Zoltan T. Balogh
Proc. Amer. Math. Soc. 126 (1998), 1835-1844
DOI: https://doi.org/10.1090/S0002-9939-98-04425-6

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.
References
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Bibliographic Information
  • Zoltan T. Balogh
  • Affiliation: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45058
  • Email: ZTBalogh@miavx1.muohio.edu
  • 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
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1835-1844
  • MSC (1991): Primary 54D15, 54D20; Secondary 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-98-04425-6
  • MathSciNet review: 1459105