Lectures in Set Theory with Particular Emphasis on the Method of Forcing [electronic resource] /

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.

Bibliographic Details

Main Authors:	Jech, Thomas J. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1971
Subjects:	Mathematics., Mathematics, general.,
Online Access:	http://dx.doi.org/10.1007/BFb0061131
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