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Lectures in Set Theory: With Particular Emphasis on the Method of Forcing de Thomas J. Jech

Lectures in Set Theory: With Particular Emphasis on the Method of Forcing: Lecture Notes in Mathematics, cartea 217

Autor Thomas J. Jech
en Limba Engleză Paperback – 1971

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Specificații

ISBN-13: 9783540055648
ISBN-10: 3540055649
Pagini: 144
Ilustrații: VIII, 140 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.21 kg
Ediția:1971
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.