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

Thomas J. Jech

ISBN 10: 3540055649 / ISBN 13: 9783540055648

Verlag: Springer, 1971

Lectures in Set Theory | With Particular Emphasis on the Method of Forcing | Thomas J. Jech | Taschenbuch | Lecture Notes in Mathematics | Einband - flex.(Paperback) | Englisch | Springer | EAN 9783540055648 | Verantwortliche Person für die EU: Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 101888704

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.

Bibliografische Details

Titel: Lectures in Set Theory | With Particular ...
Verlag: Springer
Erscheinungsdatum: 1971
Einband: Taschenbuch
Zustand: Neu