Buch, Englisch, Band 217, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 230 g
Reihe: Lecture Notes in Mathematics
With Particular Emphasis on the Method of Forcing
Buch, Englisch, Band 217, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 230 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-05564-8
Verlag: Springer Berlin Heidelberg
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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.