Lectures in Set Theory: With Particular Emphasis on the Method of Forcing

Jech, Thomas J.

ISBN 10: 3540055649 / ISBN 13: 9783540055648

Editore: Springer 1971-01, 1971

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Dati bibliografici

• Titolo: Lectures in Set Theory: With Particular Emphasis on the Method of Forcing
• Editore: Springer 1971-01
• Data di pubblicazione: 1971
• Lingua: Inglese
• ISBN 10: 3540055649
• ISBN 13: 9783540055648
• Rilegatura: PF
• Condizione: New

Descrizione articolo

Riassunto

Book by Jech Thomas J

Contenuti

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.