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Lectures in Set Theory

With Particular Emphasis on the Method of Forcing

Thomas J. Jech (Autor)

Buch | Softcover

VIII, 140 Seiten

1971
Springer Berlin (Verlag)
9783540055648 (ISBN)

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Inhaltsverzeichnis (PDF)

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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.

Erscheint lt. Verlag	1.1.1971
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 140 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	213 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	Algebra • arithmetic • Axiom of choice • Finite • ordinal
ISBN-13	9783540055648 / 9783540055648
Zustand	Neuware