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
MathSciNet review: 677230
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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.
T. Y. Li and J. A. Yorke, Period three implies chaos, Amer. Math. Monthly 82 (1975), 985-992.