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Item Details
| Title:
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CLASSIFICATION AND ORBIT EQUIVALENCE RELATIONS
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| By: |
Greg Hjorth |
| Format: |
Hardback |
| List price:
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£113.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821820028 |
| ISBN 13: |
9780821820025 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1999 |
| Series: |
Mathematical Surveys and Monographs No. 75 |
| Pages: |
195 |
| Description: |
Presents a criterion for an orbit equivalence relation that is classifiable by countable structures considered up to isomorphism. This book describes a general theory classifying a class of mathematical objects up to some relevant notion of isomorphism or equivalence. |
| Synopsis: |
Actions 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. Greg Hjorth received the Carol Karp Prize for outstanding work on turbulence and countable Borel equivalence relations from the Association of Symbolic Logic. |
| Illustrations: |
bibliography, index |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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