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Forcing idealized

Zapletal, Jindrich, (1969-)

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Forcing idealized

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Forcing idealized/ Jindrich Zapletal.
作者:	Zapletal, Jindrich,
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	vi, 314 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Introduction -- Basics -- Properties -- Examples -- Operations -- Applications -- Questions.
標題:	Descriptive set theory. -
電子資源:	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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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.
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650 0 $a Forcing (Model theory) $3 1535002
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