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Forcing Idealized

ISBN-10: 0521874262

ISBN-13: 9780521874267

Edition: 2008

Authors: Jindrich Zapletal

List price: $124.99
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Description:

This book unites descriptive set theory and definable proper forcing and explores the relations between them. Both forcing and descriptive set theory are explained independently, their sub-areas described, following their commitment to each other. 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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Book details

List price: $124.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 2/7/2008
Binding: Hardcover
Pages: 320
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 1.386
Language: English

Introduction
Welcome
Navigation
Notation
Background
Basics
Forcing with ideals
Properness
Topological representation of names
Properties
Continuous reading of names
Fubini properties of ideals
Bounding forcings
Bounding and not adding splitting real
Preservation of Baire category
Preservation of outer Lebesgue measure
The countable chain condition
[Pi superscript 1 subscript 1] on [Sigma superscript 1 subscript 1] ideals
Dichotomies
Games on Boolean algebras
Ramsey properties
Pure decision property
Examples
Ideals [sigma]-generated by closed sets
Porosity ideals
Capacities
Hausdorff measures and variations
Pavement submeasures
Analytic P-ideal forcings
Other examples
Operations
The countable support iteration
Side-by-side product
Unions of [sigma]-ideals
Illfounded iteration
Directed systems of ideals
Applications
Cardinal invariant inequalities
Duality theorems
Preservation theorems
Questions
Basics
Properties
Examples
Operations
Applications
Bibliography
Index