LMS: 232 Descript Set Theory Polish - Couverture souple

Becker, Howard

 
9780521576055: LMS: 232 Descript Set Theory Polish
Couverture souple
ISBN 10 : 0521576059 ISBN 13 : 9780521576055
Editeur : Cambridge University Press, 2008

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521576059
ISBN 13 
9780521576055
Reliure
Broché
Nombre de pages
152
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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