About: Canonical Ramsey theory on Polish spaces

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en)
Title	Canonical Ramsey theory on Polish spaces Canonical Ramsey theory on Polish spaces (en)
skos:prefLabel	Canonical Ramsey theory on Polish spaces Canonical Ramsey theory on Polish spaces (en)
skos:notation	RIV/67985840:_____/13:00422163!RIV14-MSM-67985840
http://linked.open...avai/riv/aktivita	I P Z
http://linked.open...avai/riv/aktivity	I, P(IAA100190902), P(MEB051006), P(MEB060909), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Zapletal, Jindřich
http://linked.open.../riv/druhVysledku	B - Odborná kniha
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	64210
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00422163
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Borel equivalence-relations; sigma-porous sets; closed-sets (en)
http://linked.open.../riv/klicoveSlovo	Borel equivalence-relations closed-sets sigma-porous sets
http://linked.open...ontrolniKodProRIV	[78B627867AD5]
http://linked.open...i/riv/mistoVydani	Cambridge
http://linked.open...vEdiceCisloSvazku	Cambridge Tracts in Mathematics, 202
http://linked.open...i/riv/nazevZdroje	Canonical Ramsey theory on Polish spaces
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	269 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Set theory and its applications Set theory and its applications Mathematical logic, complexity, and algorithms
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Sabok, M. Zapletal, Jindřich Kanovei, V.
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
number of pages	269 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Cambridge University Press
https://schema.org/isbn	978-1-107-02685-8

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