Lectures in Set Theory with Particular Emphasis on the Method of Forcing [electronic resource] / by Thomas J. Jech.
Material type: TextSeries: Lecture Notes in Mathematics ; 217Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1971Description: VIII, 140 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540368823Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK360 |
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.
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