An alternate characterization of the Cantor set
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- by Alan H. Schoenfeld and Gary Gruenhage PDF
- Proc. Amer. Math. Soc. 53 (1975), 235-236 Request permission
Abstract:
Let $X$ be a compact metric space such that, up to homeomorphism, $X$ has only two nonempty open subsets. Then $X$ is homeomorphic to the Cantor discontinuum.References
- Stephen Willard, General topology, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1970. MR 0264581
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 235-236
- MSC: Primary 54G05; Secondary 54F65
- DOI: https://doi.org/10.1090/S0002-9939-1975-0377836-4
- MathSciNet review: 0377836