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