Descriptive Set Theory and Dynamical Systems

This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.

M. Foreman (Edited by), A. S. Kechris (Edited by), A. Louveau (Edited by), B. Weiss (Edited by)

9780521786447, Cambridge University Press

Paperback, published 25 May 2000

300 pages
22.9 x 15.2 x 1.7 cm, 0.44 kg

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.

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.

Subject Areas: Set theory [PBCH], Mathematics [PB]