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Proceedings of the American Mathematical Society

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On remote points in $ \upsilon X-X$

Author: Toshiji Terada
Journal: Proc. Amer. Math. Soc. 77 (1979), 264-266
MSC: Primary 54D60; Secondary 54D40
MathSciNet review: 542095
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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 [Enhancements On Off] (What's this?)

  • [1] E. K. van Douwen, Remote points, Dissertationes Math. (to appear).
  • [2] L. Gillman and M. Jerison, Rings of continuous functions, Van Nostrand, Princeton, N. J., 1960. MR 0116199 (22:6994)
  • [3] I. Juhász, Cardinal functions in topology, Math. Centre Tract No. 34, Mathematisch Centrum, Amsterdam, 1971. MR 0340021 (49:4778)

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Keywords: Remote point, realcompactification, measurable cardinal
Article copyright: © Copyright 1979 American Mathematical Society

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