Descriptive Set Theory and Dynamical Systems
Descriptive Set Theory and Dynamical Systems
M. Foreman, University of California, Irvine
A. S. Kechris, California Institute of Technology
A. Louveau, Centre National de la Recherche Scientifique (CNRS), Paris
B. Weiss, Hebrew University of Jerusalem
A. S. Kechris, California Institute of Technology
A. Louveau, Centre National de la Recherche Scientifique (CNRS), Paris
B. Weiss, Hebrew University of Jerusalem
October 2013
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9781107109360
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In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume, first published in 2000, contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.
- Written by leading researchers in the fields of descriptive set theory and dynamical systems
- Discusses the recent developments in these subjects and covers the possible interconnections between the two
- Provides graduates and researchers in one of these areas with an introduction and guide to work done in the other
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October 2013Adobe eBook Reader
9781107109360
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Table of Contents
- Preface
- 1. An overview of infinite ergodic theory J. Aaronson
- 2. The multifarious Poincaré recurrence theorem V. Bergelson
- 3. Groups of automorphisms of a measure space and weak equivalence of cocycles S. Bezuglyi
- 4. A descriptive view of ergodic theory M. Foreman
- 5. Structure theory as a tool in topological dynamics E. Glasner
- 6. Orbit properties of pseudo-homeomorphism groups of a perfect Polish space and their cocycles V. YA. Golodets, V. M. Kulagin and S. D. Sinel'shchikov
- 7. Descriptive dynamics A. S. Kechris
- 8. Polish groupoids A. B. Ramsay
- 9. A survey of generic dynamics B. Weiss.
