Weakly ergodic homeomorphisms
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- by M. Sears PDF
- Proc. Amer. Math. Soc. 58 (1976), 319-324 Request permission
Abstract:
We discuss self-homeomorphisms whose only invariant realvalued continuous functions are constants. We investigate the structure and properties of such homeomorphisms and give various examples.References
- Nicolas Bourbaki, Elements of mathematics. General topology. Part 1, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. MR 0205210
- Harry Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Systems Theory 1 (1967), 1–49. MR 213508, DOI 10.1007/BF01692494
- Harvey B. Keynes and James B. Robertson, On ergodicity and mixing in topological transformation groups, Duke Math. J. 35 (1968), 809–819. MR 234441
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 58 (1976), 319-324
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0407823-X
- MathSciNet review: 0407823