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Descriptive Set Theory and Dynamical Systems
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Details

  • Page extent: 300 pages
  • Size: 228 x 152 mm
  • Weight: 0.44 kg

Library of Congress

  • Dewey number: 515/.352
  • Dewey version: 21
  • LC Classification: QA614.8 .D47 2000
  • LC Subject headings:
    • Differentiable dynamical systems--Congresses
    • Set theory--Congresses

Library of Congress Record

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Paperback

 (ISBN-13: 9780521786447 | ISBN-10: 0521786444)

Manufactured on demand: supplied direct from the printer

$88.00 (C)

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 collection of survey papers by leading researchers covers a wide variety of recent developments in these subjects and their interconnections. Researchers and graduate students interested in either of these areas will find this volume to be an excellent introduction to problems and research directions arising from their interconnections.

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.

Contributors

J. Aaronson, V. Bergelson, S. Bezuglyi, M. Foreman, E. Glasner, V. YA. Golodets, V. M. Kulagin, S. D. Sinel'shchikov, A. S. Kechris, A. B. Ramsay, B. Weiss

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