On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions
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- by L. Gillman, M. Henriksen and M. Jerison
- Proc. Amer. Math. Soc. 5 (1954), 447-455
- DOI: https://doi.org/10.1090/S0002-9939-1954-0066627-6
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References
- Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839 I. Gelfand and A. N. Kolmogoroff, On rings of continuous functions on topological spaces, C. R. (Doklady) Acad. Sci. URSS vol. 22 (1939) pp. 11-15.
- Leonard Gillman and Melvin Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. 77 (1954), 340–362. MR 63646, DOI 10.1090/S0002-9947-1954-0063646-5 F. Hausdorff, Grundzüge der Mengenlehre, Leipzig, 1914.
- 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
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 447-455
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0066627-6
- MathSciNet review: 0066627