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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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
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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