Canonical Ramsey theory on Polish spaces / Vladimir Kanovei, Marcin Sabok, Jindřich Zapletal.
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 analy...
Uniform Title: | Cambridge tracts in mathematics ;
202. |
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Main Authors: | |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
2013.
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Series: | Cambridge tracts in mathematics ;
202. |
Subjects: | |
Online Access: | |
Physical Description: | 1 online resource (viii, 269 pages) : digital, PDF file(s). |
Format: | Electronic eBook |
Contents:
- 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.