Canonical Ramsey Theory on Polish Spaces
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 c…
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Produktdetails
- ISBN: 978-1-107-43953-5
- EAN: 9781107439535
- Produktnummer: 16940977
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2013
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 2'421 KB
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