Canonical Ramsey Theory on Polish Spaces

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

List of contents

Preface; 1. Introduction; 2. Background facts; 3. Analytic equivalence relations and models of set theory; 4. Classes of equivalence relations; 5. Games and the Silver property; 6. The game ideals; 7. Benchmark equivalence relations; 8. Ramsey-type ideals; 9. Product-type ideals; 10. The countable support iteration ideals; References; Index.

About the author

Vladimir Kanovei is a mathematician working in descriptive set theory and non-standard analysis. He is Leading Researcher in the Institute for Information Transmission Problems (IITP), Moscow, and Professor at Moscow State University of Railway Engineering (MIIT).

Summary

This book lays the foundations for an exciting new area of descriptive set theory. It develops a robust connection between two active areas of research: forcing and analytic equivalence relations. Ideal for graduate students and researchers in set theory, the book provides an ideal springboard for further research.

Product details

• Authors: Vladimir Kanovei, Vladimir (Russian Academy of Sciences Kanovei, Vladimir Sabok Kanovei, Marcin Sabok, Marcin (Polish Academy of Sciences) Sabok, Jind& Zapletal, Jind&ich Zapletal, Jindrich Zapletal, Jindřich Zapletal, Jindrich (University of Florida) Zapletal
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 12.09.2013
• EAN: 9781107026858
• ISBN: 978-1-107-02685-8
• No. of pages: 278
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles