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Forcing idealized

Zapletal, Jindrich, (1969-)

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Forcing idealized

Record Type:	Electronic resources : Monograph/item
Title/Author:	Forcing idealized/ Jindrich Zapletal.
Author:	Zapletal, Jindrich,
Published:	Cambridge :Cambridge University Press, : 2008.,
Description:	vi, 314 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions.
Subject:	Descriptive set theory. -
Online resource:	https://doi.org/10.1017/CBO9780511542732
ISBN:	9780511542732

Forcing idealized
Zapletal, Jindrich,1969-

Forcing idealized[electronic resource] /Jindrich Zapletal. - Cambridge :Cambridge University Press,2008. - vi, 314 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;174. - Cambridge tracts in mathematics ;174..

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

Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions.

Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory.

ISBN: 9780511542732Subjects--Topical Terms:

739523
Descriptive set theory.

LC Class. No.: QA248 / .Z37 2008

Dewey Class. No.: 511.322

Forcing idealized
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions.
520 $a Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory.
650 0 $a Descriptive set theory. $3 739523
650 0 $a Forcing (Model theory) $3 1535002
830 0 $a Cambridge tracts in mathematics ; $v 174. $3 3470689
856 4 0 $u https://doi.org/10.1017/CBO9780511542732