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Recurrence without uniform recurrence

Published online by Cambridge University Press:  19 September 2008

T. W. Korner
T. W. Korner
Affiliation:
Trinity Hall, University of Cambridge, Cambridge, England
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Abstract

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We construct a minimal homeomorphism of a compact space such that a sequence of its iterates converges pointwise to the identity but no sequence of its iterates converges uniformly.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 4 , December 1987 , pp. 559 - 566
Copyright
Copyright © Cambridge University Press 1987

References

REFERENCES

[1]Furstenberg, H.. Recurrence in ergodic theory and combinatorial number theory. Princeton 1981.CrossRefGoogle Scholar