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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the shift on the Cantor set
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by Robbert Fokkink PDF
Proc. Amer. Math. Soc. 112 (1991), 1153-1155 Request permission

Abstract:

Let $O(x)$ be the orbit of $x$ under a homeomorphism $h$ on a metric space $X$. It is shown that this motion can be found in the shift on the Cantor set; i.e. there is an embedding $j = O(x) \to {\{ 0,1\} ^Z}$ such that $\sigma \circ j = j \circ h$.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 1153-1155
  • MSC: Primary 54H20
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1069687-1
  • MathSciNet review: 1069687