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Forcing Idealized on Hardback by Jindrich Zapletal
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Forcing Idealized

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Description

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.
Release date NZ
February 7th, 2008
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 3 Line drawings, unspecified
Pages
320
Dimensions
160x234x21
ISBN-13
9780521874267
Product ID
2059630

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