Canonical Ramsey Theory on Polish Spaces (Hardcover, New)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	September 2013
First published:	September 2013
Authors:	Vladimir Kanovei • Marcin Sabok • Jindrich Zapletal
Dimensions:	235 x 157 x 19mm (L x W x T)
Format:	Hardcover
Pages:	278
Edition:	New
ISBN-13:	978-1-107-02685-8
Categories:	Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	1-107-02685-7
Barcode:	9781107026858

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