Canonical Ramsey theory on Polish spaces /

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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 analy...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Kanoveĭ, V. G. (Vladimir Grigorʹevich)
Other Authors: Sabok, Marcin, Zapletal, Jindřich, 1969-
Format: Electronic eBook
Language:Inglés
Published: Cambridge : Cambridge University Press, 2013.
Series:Cambridge tracts in mathematics ; 202.
Subjects:
Set theory.
Ramsey theory.
Polish spaces (Mathematics)
Théorie des ensembles.
Théorie de Ramsey.
Espaces polonais (Mathématiques)
MATHEMATICS > General.
Teoría de juegos
Ramsey theory
Set theory
Online Access:Texto completo
Table of 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.

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