Book Review
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MathSciNet review:
1566878
Full text of review:
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Book Information:
Author:
Russell C. Walker
Title:
The Stone-Čech compactification
Additional book information:
Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 83, Springer-Verlag, New York, 1974, x + 332 pp., $30.40.
Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839
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
[GK] I. Gelfand and A. Kolmogoroff, On rings of continuous functions on topological spaces, Dokl. Akad. Nauk SSSR 22 (1939), 11-15.
Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 26239, DOI 10.1090/S0002-9947-1948-0026239-9
M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
- [C] E. Čech, On bicompact spaces, Ann. of Math. 38 (1937), 823-844. MR 1503374
- [GJ] L. Gillman and M. Jerison, Rings of continuous functions, Univ. Ser. in Higher Math., Van Nostrand, Princeton, N.J., 1960. MR 22 #6994. MR 116199
- [GK] I. Gelfand and A. Kolmogoroff, On rings of continuous functions on topological spaces, Dokl. Akad. Nauk SSSR 22 (1939), 11-15.
- [H] E. Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 54-99. MR 10, 126. MR 26239
- [S] M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-481. MR 1501905
Review Information:
Reviewer:
Leonard Gillman
Journal:
Bull. Amer. Math. Soc.
82 (1976), 530-532
DOI:
https://doi.org/10.1090/S0002-9904-1976-14084-0