Canonical Ramsey Theory on Polish Spaces EPUB
by Vladimir Kanovei, Marcin Sabok, Jindrich Zapletal
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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.
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- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:12/09/2013
- Category:
- ISBN:9781107424234
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- PDF from £94.35
Information
-
Download Now
- Format:EPUB
- Publisher:Cambridge University Press
- Publication Date:12/09/2013
- Category:
- ISBN:9781107424234