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Borel equivalence relations: structure and classification

Over the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis,...

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Detalles Bibliográficos
Autor principal: Kanovei, Vladimir
Lenguaje:eng
Publicado: American Mathematical Society 2008
Materias:
Acceso en línea:http://cds.cern.ch/record/2623130
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author Kanovei, Vladimir
author_facet Kanovei, Vladimir
author_sort Kanovei, Vladimir
collection CERN
description Over the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis, and model theory. The book presents, for the first time in mathematical literature, all major aspects of this theory and its applications. This book should be of interest to a wide spectrum of mathematicians working in set theory as well as the other areas mentioned. It provides a systematic exposition of results that so far have been only available in journals or are even unpublished. The book presents unified and in some cases significantly streamlined proofs of several difficult results, especially dichotomy theorems. It has rather minimal overlap with other books published in this subject.
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institution Organización Europea para la Investigación Nuclear
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publisher American Mathematical Society
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spelling cern-26231302021-04-21T18:47:33Zhttp://cds.cern.ch/record/2623130engKanovei, VladimirBorel equivalence relations: structure and classificationMathematical Physics and MathematicsOver the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis, and model theory. The book presents, for the first time in mathematical literature, all major aspects of this theory and its applications. This book should be of interest to a wide spectrum of mathematicians working in set theory as well as the other areas mentioned. It provides a systematic exposition of results that so far have been only available in journals or are even unpublished. The book presents unified and in some cases significantly streamlined proofs of several difficult results, especially dichotomy theorems. It has rather minimal overlap with other books published in this subject.American Mathematical Societyoai:cds.cern.ch:26231302008
spellingShingle Mathematical Physics and Mathematics
Kanovei, Vladimir
Borel equivalence relations: structure and classification
title Borel equivalence relations: structure and classification
title_full Borel equivalence relations: structure and classification
title_fullStr Borel equivalence relations: structure and classification
title_full_unstemmed Borel equivalence relations: structure and classification
title_short Borel equivalence relations: structure and classification
title_sort borel equivalence relations: structure and classification
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2623130
work_keys_str_mv AT kanoveivladimir borelequivalencerelationsstructureandclassification