Lectures in set theory : with particular emphasis on the method of forcing

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Detaylı Bibliyografya
Yazar: žb., 1944-...,
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 217
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Lectures in set theory, with particular emphasis on the method of forcing, Thomas J. Jech,..., Berlin, Springer-Verlag, 1971, 1 vol. (137 p.), Lecture notes in mathematics, 3-540-05564-9
• Lectures in Set Theory, Texte imprimé, 9783662188422
İçindekiler:
  • 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.