Hidden Bibliographic Details
| Other authors / contributors: | Sabok, Marcin.
Zapletal, Jindřich, 1969-
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| ISBN: | 9781107416604
1107416604
9781139208666
1139208667
9781306071963
1306071968
9781107419247
1107419247
9781107420472
1107420474
9781107026858
1107026857
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| Notes: | Includes bibliographical references (pages 264-267) and index.
Print version record.
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| Summary: | 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 forcing, as well as partition arguments. The results include strong canonization theorems for many classes of equivalence relations and sigma-ideals, as well as ergodicity results in cases where canonization theorems are impossible to achieve. Ideal for graduate students and researchers in set theory, the book provides a useful springboard for further research.
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| Other form: | Print version: Kanoveĭ, V.G. (Vladimir Grigorʹevich). Canonical Ramsey theory on Polish spaces 9781107026858
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