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)

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An alternative construction of $\beta X$ and $\upsilon X$
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by Richard E. Chandler
Proc. Amer. Math. Soc. 32 (1972), 315-318
DOI: https://doi.org/10.1090/S0002-9939-1972-0292032-4

Abstract:

A different construction of $\beta X$ and $\upsilon X$ is given emphasizing the extension property and the role played by $C(X)$.
References
  • W. W. Comfort, A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues, Fund. Math. 63 (1968), 97–110. MR 236880, DOI 10.4064/fm-63-1-97-110
  • R. Engelking, Outline of general topology, North-Holland Publishing Co., Amsterdam; PWN—Polish Scientific Publishers, Warsaw; Interscience Publishers Division John Wiley & Sons, Inc., New York, 1968. Translated from the Polish by K. Sieklucki. MR 0230273
  • 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
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 32 (1972), 315-318
  • MSC: Primary 54D35
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292032-4
  • MathSciNet review: 0292032