Forcing Idealized (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	February 2008
First published:	2008
Authors:	Jindrich Zapletal
Dimensions:	234 x 160 x 21mm (L x W x T)
Format:	Hardcover
Pages:	320
ISBN-13:	978-0-521-87426-7
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Promotions
LSN:	0-521-87426-2
Barcode:	9780521874267

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