A chaotic function with some extremal properties
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- by J. Smítal
- Proc. Amer. Math. Soc. 87 (1983), 54-56
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677230-7
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Abstract:
For a continuous function chaotic in the sense of Li and Yorke the continuum hypothesis implies the existence of a scrambled set which has among others full outer Lebesgue measure.References
- T. Y. Li and James A. Yorke, Period three implies chaos, Amer. Math. Monthly 82 (1975), no. 10, 985–992. MR 385028, DOI 10.2307/2318254
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 54-56
- MSC: Primary 26A18; Secondary 54H20, 58F13
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677230-7
- MathSciNet review: 677230