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Sets that force recurrence

Author(s): Alexander Blokh; Adam Fieldsteel
Journal: Proc. Amer. Math. Soc. 130 (2002), 3571-3578.
MSC (2000): Primary 37B20
Posted: July 15, 2002
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Abstract: We characterize those subsets $S$ of the positive integers with the property that, whenever a point $x$ in a dynamical system enters a compact set $K$along $S$, $K$ contains a recurrent point. We do the same for uniform recurrence.

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Glasner, S., Divisible properties and the Stone-Cech compactification, Can. J. Math., 34, No. 4, 1980, pp. 993-1007 MR 82a:54040

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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: 10.1090/S0002-9939-02-06349-9
PII: S 0002-9939(02)06349-9
Received by editor(s): November 30, 2000
Posted: July 15, 2002
Additional Notes: The first author was partially supported by NSF grant DMS-9970363
Communicated by: Michael Handel
Copyright of article: Copyright 2002, American Mathematical Society

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