Set theory : Boolean-valued models and independence proofs

This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,. It provides an exposition of some of the most important results in set theory obtained in the 20th century: the independence of the continuum hypo...

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Bibliographic Details
Main Author: Bell, John Lane, 1945-
Format: Book
Language:English
Published: Oxford: Oxford, 2005.
Edition:3ra edición
Series:Oxford Logic Guides; v. 47
Subjects:
Online Access:Texto completo
Table of Contents:
  • Boolean and heyting algebras: the essentials
  • Boolean-valued models of set theory: first steps
  • Forcing and some independence proofs
  • Group actions on v[sup(B)] and the independence of the axiom of choice
  • Generic ultrafilters and transitive models of ZFC
  • Cardinal collapsing, boolean isomorphism, and applications to the theory of boolean algebras
  • Iterated boolean extensions, Martin's axiom, and Souslin's hypothesis
  • Boolean-valued analysis
  • Intuitionistic set theory and heyting-algebra-valued models