Sets that force recurrence

Authors:
Alexander Blokh and Adam Fieldsteel

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3571-3578

MSC (2000):
Primary 37B20

DOI:
https://doi.org/10.1090/S0002-9939-02-06349-9

Published electronically:
July 15, 2002

MathSciNet review:
1920036

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Abstract | References | Similar Articles | Additional Information

Abstract: We characterize those subsets of the positive integers with the property that, whenever a point in a dynamical system enters a compact set along , contains a recurrent point. We do the same for uniform recurrence.

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Additional Information

**Alexander Blokh**

Affiliation:
Department of Mathematics, University of Alabama at Birmingham, UAB Station, Birmingham, Alabama 35294-2060

Email:
ablokh@vorteb.math.uab.edu

**Adam Fieldsteel**

Affiliation:
Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459

Email:
afieldsteel@wesleyan.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06349-9

Received by editor(s):
November 30, 2000

Published electronically:
July 15, 2002

Additional Notes:
The first author was partially supported by NSF grant DMS-9970363

Communicated by:
Michael Handel

Article copyright:
© Copyright 2002
American Mathematical Society