On theorems of Tychonoff, Alexander, and R. Rado
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- by E. S. Wolk
- Proc. Amer. Math. Soc. 18 (1967), 113-115
- DOI: https://doi.org/10.1090/S0002-9939-1967-0203680-X
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References
- J. W. Alexander, Ordered sets, complexes, and the problem of bicompactificatlion, Proc. Nat. Acad. Sci. U.S.A. 22 (1939), 296-298.
- W. H. Gottschalk, Choice functions and Tychonoff’s theorem, Proc. Amer. Math. Soc. 2 (1951), 172. MR 40376, DOI 10.1090/S0002-9939-1951-0040376-X
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- J. L. Kelley, The Tychonoff product theorem implies the axiom of choice, Fund. Math. 37 (1950), 75–76. MR 39982, DOI 10.4064/fm-37-1-75-76
- R. Rado, Axiomatic treatment of rank in infinite sets, Canad. J. Math. 1 (1949), 337–343. MR 31993, DOI 10.4153/cjm-1949-031-1
- Henry Wallman, Lattices and topological spaces, Ann. of Math. (2) 39 (1938), no. 1, 112–126. MR 1503392, DOI 10.2307/1968717
- L. E. Ward Jr., A weak Tychonoff theorem and the axiom of choice, Proc. Amer. Math. Soc. 13 (1962), 757–758. MR 186537, DOI 10.1090/S0002-9939-1962-0186537-8
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 113-115
- MSC: Primary 54.20
- DOI: https://doi.org/10.1090/S0002-9939-1967-0203680-X
- MathSciNet review: 0203680