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Lectures in set theory, with particular emphasis on the method of forcing

Author: Thomas J Jech
Publisher: Berlin, New York, Springer-Verlag, 1971.
Series: Lecture notes in mathematics (Springer-Verlag), 217.
Edition/Format:   Book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Jech, Thomas J.
Lectures in set theory.
Berlin, New York, Springer-Verlag, 1971
(OCoLC)651898141
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Thomas J Jech
ISBN: 0387055649 9780387055640 3540055649 9783540055648
OCLC Number: 201009
Description: 137 pages 26 cm.
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 (Springer-Verlag), 217.
Responsibility: [by] Thomas J. Jech.
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