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Record Nr. |
UNINA9910790616003321 |
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Autore |
Kanoveĭ V. G (Vladimir Grigorʹevich) |
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Titolo |
Canonical Ramsey theory on Polish spaces / / Vladimir Kanovei, Marcin Sabok, Jindřich Zapletal [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2013 |
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ISBN |
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1-107-42423-2 |
1-139-89113-8 |
1-107-42195-0 |
1-107-41924-7 |
1-107-41660-4 |
1-139-20866-7 |
1-107-42047-4 |
1-107-41792-9 |
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Descrizione fisica |
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1 online resource (viii, 269 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 202 |
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Disciplina |
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Soggetti |
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Set theory |
Ramsey theory |
Polish spaces (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Background facts -- Analytic equivalence relations and models of set theory --Classes of equivalence relations -- Games and the Silver property -- The game ideals -- Benchmark equivalence relations -- Ramsey-type ideals -- Product-type ideals -- The countable support iteration ideals. |
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Sommario/riassunto |
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This book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory. Given an analytic equivalence relation on a Polish space, can one find a large subset of the space on which it has a simple form? The book provides many positive and negative general answers to this question. The proofs feature proper forcing and Gandy-Harrington |
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