Canonical Ramsey Theory on Polish Spaces (BOK)

Vladimir Kanovei, Marcin Sabok, Jindrich Zapletal

689,00 68900
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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 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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2013 Forfatter Jindrich Zapletal, Marcin Sabok, Vladimir Kanovei
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781107026858
Antall sider 278 Dimensjoner 15,2cm x 22,8cm x 1,9cm
Vekt 530 gram Leverandør Bertram Trading Ltd
Emner og form Topology