Aspects of constructibility

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Bibliographic Details
Main Author: Devlin, Keith J., 1947-
Format: Livre numérique
Language:Anglais
Published: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 354
Subjects:
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Edition sous un autre format:• Aspects of constructibility, Keith J. Devlin,..., Berlin [etc.], Springer-Verlag, 1973, 1 vol. (XII-240 p.), Lecture notes in mathematics, 3-540-06522-9
• Aspects of Constructibility, Texte imprimé, 9783662212141
Table of Contents:
  • Zermelo-Fraenkel set theory
  • The constructible universe
  • The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis
  • The Souslin hypothesis
  • The Kurepa hypothesis
  • Constructibility and the continuum
  • The Jensen hierarchy of constructible sets
  • The fine structure of the Jensen hierarchy
  • The combinatorial principles {ie104-1}
  • The generalised Souslin hypothesis for successor cardinals
  • Ineffable cardinals and the generalised Kurepa hypothesis
  • Weakly compact cardinals and the generalised Souslin hypothesis
  • The Gap-1 two cardinals theorem
  • Gap-1 morasses
  • The gap-2 two cardinals theorem. (Jensen)
  • Small large cardinals
  • Medium large cardinals
  • Large large cardinals
  • Relative constructibility
  • The inner model L[?]
  • Strongly compact cardinals and relative constructibility.