The Descriptive Set Theory of Polish Group Actions
The Descriptive Set Theory of Polish Group Actions
Alexander S. Kechris, California Institute of Technology
$51.99
USDA Polish space (group) is a separable, completely metrizable topological space (group). This book is about actions of Polish groups, in connection with--or from the point of view of--the subject of descriptive set theory. Descriptive set theory is the study of definable sets and functions in Polish spaces. The basic classes of definable sets are the classes of Borel, analytic and coanalytic sets, and these constitute the main topic of the book, but the authors also consider other classes of definable sets. This will be a valuable book for all researchers in set theory and related areas.
- Best researchers in this branch of set theory
- Unifies diverse research of last 8-10 years
Reviews & endorsements
"I wholeheartedly recommend this book to anyone with an interest in group action and/or descriptive set theory." Klaas Pieter Hart, Mathematical Reviews
"This is an excellent book for anyone interested in Borel sets and analytic sets...in separable spaces whose topologies can be given by complete metrics...." Arlan Ramsay, Journal of Symbolic Logic
Product details
December 1996Paperback
9780521576055
152 pages
228 × 152 × 11 mm
0.218kg
Available
Table of Contents
- Descriptive set theory
- 1. Polish groups
- 2. Actions of polish groups
- 3. Equivalence relations
- 4. Invariant measures and paradoxical decompositions
- 5. Better topologies
- 6. Model theory and the Vaught conjecture
- 7. Actions with Borel orbit equivalence relations
- 8. Definable cardinality
- References.
