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The topological dynamics of semigroup actions

Author(s): David B. Ellis; Robert Ellis; Mahesh Nerurkar
Journal: Trans. Amer. Math. Soc. 353 (2001), 1279-1320.
MSC (2000): Primary 54H20, 37B05
Posted: December 15, 2000
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Abstract:

In these notes we explore the fine structure of recurrence for semigroup actions, using the algebraic structure of compactifications of the acting semigroup.

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Additional Information:

David B. Ellis
Affiliation: Department of Mathematics, Beloit College, Beloit, Wisconsin 53511
Email: ellis@beloit.edu

Robert Ellis
Affiliation: Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Email: robellis@math.umn.edu

Mahesh Nerurkar
Affiliation: Department of Mathematics, Rutgers University, Camden, New Jersey 08102
Email: nmahesh@crab.rutgers.edu

DOI: 10.1090/S0002-9947-00-02704-5
PII: S 0002-9947(00)02704-5
Keywords: Topological dynamics, recurrence
Received by editor(s): July 21, 1998
Received by editor(s) in revised form: January 17, 2000
Posted: December 15, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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