Almost periodic sets and subactions in topological dynamics
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- by Ethan Akin and Joseph Auslander PDF
- Proc. Amer. Math. Soc. 131 (2003), 3059-3062 Request permission
Abstract:
Let $\Gamma$ be a group with subgroup $\Lambda$. We show, under certain conditions, that an almost periodic point for the action of $\Lambda$ is also almost periodic for $\Gamma$. This is applied to obtain a theorem of Glasner.References
- Eli Glasner, Structure theory as a tool in topological dynamics, Descriptive set theory and dynamical systems (Marseille-Luminy, 1996) London Math. Soc. Lecture Note Ser., vol. 277, Cambridge Univ. Press, Cambridge, 2000, pp. 173–209. MR 1774426
Additional Information
- Ethan Akin
- Affiliation: Department of Mathematics, City College of New York, New York, New York 10031-9100
- MR Author ID: 24025
- Email: etkcc@cunyvm.cuny.edu
- Joseph Auslander
- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742-0001
- Email: jna@math.umd.edu
- Received by editor(s): April 12, 2002
- Published electronically: March 17, 2003
- Communicated by: Michael Handel
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3059-3062
- MSC (2000): Primary 37B05
- DOI: https://doi.org/10.1090/S0002-9939-03-07005-9
- MathSciNet review: 1993213