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Jech, Thomas J.

Lectures in Set Theory with Particular Emphasis on the Method of Forcing [electronic resource] / by Thomas J. Jech. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1971. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 217 0075-8434 ; . - Lecture Notes in Mathematics, 217 .

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.

ISBN: 9783540368823

Standard No.: 10.1007/BFb0061131 doi

Subjects--Topical Terms:
Mathematics.
Mathematics.
Mathematics, general.

LC Class. No.: QA1-939

Dewey Class. No.: 510