Multiple Forcing

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Paperback | 25 November 2010

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146 Pages

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22.86 x 15.24 x 0.86

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In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs. The book is based on graduate courses though some results are also included, making the book attractive to set theorists and logicians.

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Preface
Product Forcing
Forcing and Boolean-valued models
Properties of the generic extension
Examples of generic reals
Product forcing
Examples of product forcing
The L©vy collapse
Product measure forcing
Iterated Forcing
Two step iteration
Finite support iteration
Martin's axiom
Suslin's problem
Whitehead's problem
Kaplansky's conjecture
Countable support iteration
Borel's conjecture
Proper Forcing
Stationary sets
Infinite games on complete Boolean algebras
Proper forcing
Examples of proper forcing
Iteration of proper forcing
The Proper Forcing Axiom
Martin's maximum
Well-founded iteration
Bibliography
Index of symbols
Subject index
Author index
Table of Contents provided by Publisher. All Rights Reserved.

Multiple Forcing

At a Glance

Paperback

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