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Descriptive set theory and dynamical systems / edited by M. Foreman [and others].

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 277.Publisher: Cambridge : Cambridge University Press, 2000Description: 1 online resource (291 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107325999 (ebook)
Other title:
  • Descriptive Set Theory & Dynamical Systems
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 515/.352 21
LOC classification:
  • QA614.8 .D47 2000
Online resources:
Contents:
An overview of infinite ergodic theory / J. Aaronson -- The multifarious Poincaré recurrence theorem / V. Bergelson -- Groups of automorphisms of a measure space and weak equivalence of cocycles / S. Bezuglyi -- A descriptive view of ergodic theory / M. Foreman -- Structure theory as a tool in topological dynamics / E. Glasner -- 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 -- Descriptive dynamics / A.S. Kechris -- Polish groupoids / A.B. Ramsay -- A survey of generic dynamics / B. Weiss.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

An overview of infinite ergodic theory / J. Aaronson -- The multifarious Poincaré recurrence theorem / V. Bergelson -- Groups of automorphisms of a measure space and weak equivalence of cocycles / S. Bezuglyi -- A descriptive view of ergodic theory / M. Foreman -- Structure theory as a tool in topological dynamics / E. Glasner -- 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 -- Descriptive dynamics / A.S. Kechris -- Polish groupoids / A.B. Ramsay -- A survey of generic dynamics / B. Weiss.

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.

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