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On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. (English) Zbl 0056.10803


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[1] Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823 – 844. · Zbl 0017.42803 · doi:10.2307/1968839
[2] 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. · JFM 65.0500.03
[3] Leonard Gillman and Melvin Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. 77 (1954), 340 – 362. · Zbl 0058.10003
[4] F. Hausdorff, Grundzüge der Mengenlehre, Leipzig, 1914. · JFM 45.0123.01
[5] Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45 – 99. · Zbl 0032.28603
[6] M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375 – 481. · Zbl 0017.13502
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