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Description
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.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 278
- Langue:
- Anglais
- Collection :
- Tome:
- n° 202
Caractéristiques
- EAN:
- 9781107026858
- Date de parution :
- 12-09-13
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 155 mm x 231 mm
- Poids :
- 521 g
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