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

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An empty class of nonmetric spaces
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by Alan Dow PDF
Proc. Amer. Math. Soc. 104 (1988), 999-1001 Request permission

Abstract:

Let CSSM be the class of compact nonmetrizable spaces in which every subspace of cardinality at most ${\omega _1}$ is metrizable. We show that CSSM is empty.
References
  • A. Dow, Two applications of reflection and forcing to topology, General topology and its relations to modern analysis and algebra, VI (Prague, 1986) Res. Exp. Math., vol. 16, Heldermann, Berlin, 1988, pp. 155–172. MR 952602
  • I. Juhász, Cardinal functions in topology, Mathematical Centre Tracts, No. 34, Mathematisch Centrum, Amsterdam, 1971. In collaboration with A. Verbeek and N. S. Kroonenberg. MR 0340021
  • Kenneth Kunen and Jerry E. Vaughan (eds.), Handbook of set-theoretic topology, North-Holland Publishing Co., Amsterdam, 1984. MR 776619
  • Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 999-1001
  • MSC: Primary 54E35; Secondary 54E45
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0964886-9
  • MathSciNet review: 964886