Lectures in Set Theory
With Particular Emphasis on the Method of Forcing
Published on 1. January 1971
Book
Paperback/Softback
VIII, 140 pages
978-3-540-05564-8 (ISBN)
Description
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.
More details
Series
Edition
1971 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 140 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
230 gr
ISBN-13
978-3-540-05564-8 (9783540055648)
DOI
10.1007/BFb0061131
Schweitzer Classification
Content
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.