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OverviewActions of Polish groups are ubiquitous in mathematics. In certain branches of ergodic theory and functional analysis, one finds a systematic study of the group of measure-preserving transformations and the unitary group. In logic, the analysis of countable models intertwines with results concerning the actions of the infinite symmetric group. This text develops the theory of Polish group actions entirely from scratch, ultimately presenting a coherent theory of the resulting orbit equivalence classes that may allow complete classification by invariants of an indicated form. The book concludes with a criterion for an orbit equivalence relation classifiable by countable structures considered up to isomorphism. This self-contained volume offers a complete treatment of this active area of current research and develops a difficult general theory classifying a class of mathematical objects up to some relevant notion of isomorphism or equivalence. Full Product DetailsAuthor: Greg HjorthPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 75 Weight: 0.600kg ISBN: 9780821820025ISBN 10: 0821820028 Pages: 195 Publication Date: 30 November 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsAn outline Definitions and technicalities Turbulence Classifying homeomorphisms Infinite dimensional group representations A generalized Scott analysis GE groups The dark side Beyond Borel Looking ahead Ordinals Notation Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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