東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Canonical Ramsey theory on Polish spaces

Kanovei, V. G.

Linked to FindBook

Google Book

Amazon

博客來

Canonical Ramsey theory on Polish spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Canonical Ramsey theory on Polish spaces/ Vladimir Kanovei, Marcin Sabok, Jindrich Zapletal.
Author:	Kanovei, V. G.
other author:	Sabok, Marcin.
Published:	Cambridge :Cambridge University Press, : 2013.,
Description:	viii, 269 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Introduction -- Background facts -- Analytic equivalence relations and models of set theory --Classes of equivalence relations -- Games and the Silver property -- The game ideals -- Benchmark equivalence relations -- Ramsey-type ideals -- Product-type ideals -- The countable support iteration ideals.
Subject:	Set theory. -
Online resource:	https://doi.org/10.1017/CBO9781139208666
ISBN:	9781139208666

Canonical Ramsey theory on Polish spaces
Kanovei, V. G.

Canonical Ramsey theory on Polish spaces[electronic resource] /Vladimir Kanovei, Marcin Sabok, Jindrich Zapletal. - Cambridge :Cambridge University Press,2013. - viii, 269 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;202. - Cambridge tracts in mathematics ;202..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Background facts -- Analytic equivalence relations and models of set theory --Classes of equivalence relations -- Games and the Silver property -- The game ideals -- Benchmark equivalence relations -- Ramsey-type ideals -- Product-type ideals -- The countable support iteration ideals.

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.

ISBN: 9781139208666Subjects--Topical Terms:

520081
Set theory.

LC Class. No.: QA248 / .K356 2013

Dewey Class. No.: 511.322

Canonical Ramsey theory on Polish spaces
LDR:02132nmm a2200277 a 4500 001 2227284
003 UkCbUP
005 20151005020622.0
006 m d
007 cr nn 008maaau
008 210414s2013 enk o 1 0 eng d
020 $a 9781139208666 $q (electronic bk.)
020 $a 9781107026858 $q (hardback)
035 $a CR9781139208666
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA248 $b .K356 2013
082 0 4 $a 511.322 $2 23
090 $a QA248 $b .K16 2013
100 1 $a Kanovei, V. G. $q (Vladimir Grigor'evich). $3 3470614
245 1 0 $a Canonical Ramsey theory on Polish spaces $h [electronic resource] / $c Vladimir Kanovei, Marcin Sabok, Jindrich Zapletal.
260 $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a viii, 269 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 202
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Background facts -- Analytic equivalence relations and models of set theory --Classes of equivalence relations -- Games and the Silver property -- The game ideals -- Benchmark equivalence relations -- Ramsey-type ideals -- Product-type ideals -- The countable support iteration ideals.
520 $a 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.
650 0 $a Set theory. $3 520081
650 0 $a Ramsey theory. $3 646458
650 0 $a Polish spaces (Mathematics) $3 3470617
700 1 $a Sabok, Marcin. $3 3470615
700 1 $a Zapletal, Jindrich, $d 1969- $3 1537741
830 0 $a Cambridge tracts in mathematics ; $v 202. $3 3470616
856 4 0 $u https://doi.org/10.1017/CBO9781139208666