On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions

Authors:
L. Gillman, M. Henriksen and M. Jerison

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

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**[1]**E. Čech,*On bicompact spaces*, Ann. of Math. vol. 38 (1937) pp. 823-844. MR**1503374****[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.**[3]**L. Gillman and M. Henriksen,*Concerning rings of continuous functions*, Trans. Amer. Math. Soc. (to appear). MR**0063646 (16:156g)****[4]**F. Hausdorff,*Grundzüge der Mengenlehre*, Leipzig, 1914.**[5]**E. Hewitt,*Rings of real-valued continuous functions*. I, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 45-99. MR**0026239 (10:126e)****[6]**M. H. Stone,*Applications of the theory of Boolean rings to general topology*, Trans. Amer. Math. Soc. vol. 41 (1937) pp. 375-481. MR**1501905**

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0066627-6

Article copyright:
© Copyright 1954
American Mathematical Society