Concerning rings of continuous functions

Concerning rings of continuous functions
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Trans. Amer. Math. Soc. 77 (1954), 340-362

DOI: https://doi.org/10.1090/S0002-9947-1954-0063646-5

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References

Richard F. Arens and Irving Kaplansky, Topological representation of algebras, Trans. Amer. Math. Soc. 63 (1948), 457–481. MR 25453, DOI 10.1090/S0002-9947-1948-0025453-6
Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839
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C. H. Dowker, On countably paracompact spaces, Canad. J. Math. 3 (1951), 219–224. MR 43446, DOI 10.4153/cjm-1951-026-2
L. Gillman, M. Henriksen, and M. Jerison, On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions, Proc. Amer. Math. Soc. 5 (1954), 447–455. MR 66627, DOI 10.1090/S0002-9939-1954-0066627-6
F. Hausdorff, Grundzüge einer Theorie der geordneten Mengen, Math. Ann. 65 (1908), no. 4, 435–505 (German). MR 1511478, DOI 10.1007/BF01451165

Grundzüge der Mengenlehre

Melvin Henriksen, On the prime ideals of the ring of entire functions, Pacific J. Math. 3 (1953), 711–720. MR 59479
Melvin Henriksen and J. R. Isbell, On the continuity of the real roots of an algebraic equation, Proc. Amer. Math. Soc. 4 (1953), 431–434. MR 55664, DOI 10.1090/S0002-9939-1953-0055664-2
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
Edwin Hewitt, Linear functionals on spaces of continuous functions, Fund. Math. 37 (1950), 161–189. MR 42684, DOI 10.4064/fm-37-1-161-189
Irving Kaplansky, Topological rings, Amer. J. Math. 69 (1947), 153–183. MR 19596, DOI 10.2307/2371662
M. Katětov, Measures in fully normal spaces, Fund. Math. 38 (1951), 73–84. MR 48531, DOI 10.4064/fm-38-1-73-84

Topologie

Algebraic topology

Neal H. McCoy, Rings and ideals, Carus Monograph Series, no. 8, Open Court Publishing Co., La Salle, Ill., 1948. MR 0026038
Bedřich Pospíšil, Remark on bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 845–846. MR 1503375, DOI 10.2307/1968840
Taira Shirota, A class of topological spaces, Osaka Math. J. 4 (1952), 23–40. MR 50872
Roman Sikorski, Remarks on some topological spaces of high power, Fund. Math. 37 (1950), 125–136. MR 40643, DOI 10.4064/fm-37-1-125-136
A. H. Stone, Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977–982. MR 26802, DOI 10.1090/S0002-9904-1948-09118-2
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

Über unerreichbare Kardinalzahlen

Drei Überdeckungssätze der allgemeinen Mengenlehre

A. Tychonoff, Über die topologische Erweiterung von Räumen, Math. Ann. 102 (1930), no. 1, 544–561 (German). MR 1512595, DOI 10.1007/BF01782364

Zur Masstheorie in der allgemeinen Mengenlehre

Moderne Algebra