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9780521339964

An Introduction to Independence for Analysts

by
  • ISBN13:

    9780521339964

  • ISBN10:

    0521339960

  • Format: Paperback
  • Copyright: 1987-12-25
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. This book explains clearly, to non-logicians, the technique of forcing and its connection with independence, and gives a full proof that a naturally arising and deep question of analysis is independent of ZFC. It provides the first accessible account of this result, and it includes a discussion, of Martin's Axiom and of the independence of CH.

Table of Contents

Homomorphisms from algebras of continuous functions
Partial orders, Boolean algebras, and ultraproducts
Woodin's condition
Independence in set theory
Martin's Axiom
Gaps in ordered sets
Forcing
Iterated Forcing
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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