The Descriptive Set Theory of Polish Group Actions (London Mathematical Society Lecture Note Series, Series Number 232) - Softcover

Becker, Howard; Kechris, Alexander S.

 
9780521576055: The Descriptive Set Theory of Polish Group Actions (London Mathematical Society Lecture Note Series, Series Number 232)
Softcover
ISBN 10: 0521576059 ISBN 13: 9780521576055
Publisher: Cambridge University Press, 1996

Synopsis

A 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.

"synopsis" may belong to another edition of this title.

Book Description

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. These constitute the main topic of the book, but at times other classes of definable sets are also considered.

Review

"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

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
1996
Language
English
ISBN 10 
0521576059
ISBN 13 
9780521576055
Binding
Paperback
Edition number
1
Number of pages
152