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Canonical Ramsey Theory on Polish Spaces

SYSNO ASEP	0422163
Document Type	B - Monograph
R&D Document Type	Monograph
Title	Canonical Ramsey Theory on Polish Spaces
Author(s)	Kanovei, V. (RU) Sabok, M. (PL) Zapletal, Jindřich (MU-W)_{RID, SAI, ORCID}
Issue data	Cambridge: Cambridge University Press, 2013
ISBN	978-1-107-02685-8
Series	Cambridge Tracts in Mathematics
Series number	202
Number of pages	269 s.
Number of copy	500
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Issue	1.
Keywords	Borel equivalence-relations ; sigma-porous sets ; closed-sets
Subject RIV	BA - General Mathematics
R&D Projects	MEB051006 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	MEB060909 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	IAA100190902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
Institutional support	MU-W - RVO:67985840
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000325694000012
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2014

Number of the records: 1