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Lectures in set theory with practical emphasis on the method of forcing.

Author: Thomas J Jech
Publisher: [S.l.] : Springer-Verlag, 1971.
Series: Lecture notes in mathematics, 217
Edition/Format:   Book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Thomas J Jech
ISBN: 3540055649 9783540055648
OCLC Number: 500722548
Contents: Formulas and classes.- Axioms of Zermelo-Fraenkel.- Ordinal numbers.- Cardinal numbers.- Finite sets.- Real numbers.- Axiom of choice.- Cardinal arithmetic.- Axiom of regularity.- Transitive models.- Constructible sets.- Consistency of AC and GCH.- More on transitive models.- Ordinal definability.- Remarks on complete boolean algebras.- The method of forcing and boolean - valued models.- Independence of the continuum hypothesis and collapsing of cardinals.- Two applications of boolean-valued models in the theory of boolean algebras.- Lebesgue measurability.- Suslin's problem.- Martin's axiom.- Perfect forcing.- Remark on ordinal definability.- Independence of AC.- Fraenkel-mostowski models.- Embedding of FM models in models of ZF.
Series Title: Lecture notes in mathematics, 217

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