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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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From countable compactness to absolute countable compactness
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by Mary Ellen Rudin, Ian S. Stares and Jerry E. Vaughan PDF
Proc. Amer. Math. Soc. 125 (1997), 927-934 Request permission

Abstract:

We show that every countably compact space which is monotonically normal, almost 2-fully normal, radial $T_2$, or $T_3$ with countable spread is absolutely countably compact. For the first two mentioned properties, we prove more general results not requiring countable compactness. We also prove that every monotonically normal, orthocompact space is finitely fully normal.
References
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Additional Information
  • Mary Ellen Rudin
  • Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • Email: mrudin@math.wisc.edu
  • Ian S. Stares
  • Affiliation: Department of Mathematical Sciences University of North Carolina at Greensboro Greensboro, North Carolina 27412
  • Email: isstares@maths.ox.ac.uk
  • Jerry E. Vaughan
  • Email: vaughanj@steffi.uncg.edu
  • Received by editor(s): September 10, 1995
  • Communicated by: Franklin D. Tall
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 927-934
  • MSC (1991): Primary 54D20; Secondary 54A35
  • DOI: https://doi.org/10.1090/S0002-9939-97-04030-6
  • MathSciNet review: 1415367