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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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On remote points in $\upsilon X-X$
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by Toshiji Terada
Proc. Amer. Math. Soc. 77 (1979), 264-266
DOI: https://doi.org/10.1090/S0002-9939-1979-0542095-X
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Abstract:

Under a certain set-theoretic assumption, a question of E. K. van Douwen is solved. More precisely, if the cellularity $c(X)$ of a space X is nonmeasurable, then $\upsilon X - X$ contains no remote point of X.
References
    E. K. van Douwen, Remote points, Dissertationes Math. (to appear).
  • Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
  • 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
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Bibliographic Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 77 (1979), 264-266
  • MSC: Primary 54D60; Secondary 54D40
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0542095-X
  • MathSciNet review: 542095