A chaotic function with some extremal properties
Author:
J. Smítal
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
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Abstract | References | Similar Articles | Additional Information
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.
- [1] T. Y. Li and James A. Yorke, Period three implies chaos, Amer. Math. Monthly 82 (1975), no. 10, 985–992. MR 385028, https://doi.org/10.2307/2318254
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0677230-7
Article copyright:
© Copyright 1983
American Mathematical Society
