THE DESCRIPTIVE SET THEORY OF POLISH GROUP ACTIONS by Howard Becker, Alexander S. Kechris ( 9780521576055 )

Item Details

Title:

THE DESCRIPTIVE SET THEORY OF POLISH GROUP ACTIONS

By:

Howard Becker, Alexander S. Kechris

Format:

Paperback

List price:

£41.99

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£36.74

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ISBN 10:

0521576059

ISBN 13:

9780521576055

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

5 December, 1996

Series:

London Mathematical Society Lecture Note Series 232

Pages:

152

Description:

Research monograph on set theory by two of the world's leading researchers.

Synopsis:

In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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