Lectures in Set Theory: With Particular Emphasis on the Method of Forcing (Lecture Notes in Mathematics, 217, Band 217) - Softcover

Jech, Thomas J.

 
9783540055648: Lectures in Set Theory: With Particular Emphasis on the Method of Forcing (Lecture Notes in Mathematics, 217, Band 217)
Softcover
ISBN 10: 3540055649 ISBN 13: 9783540055648
Verlag: Springer, 2009

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540055649
ISBN 13 
9783540055648
Einband
Taschenbuch
Anzahl der Seiten
144
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