Aspects of Constructibility

Aspects of Constructibility

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Product details

  • Paperback | 246 pages
  • 154.94 x 231.14 x 17.78mm | 362.87g
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Berlin, Germany
  • English
  • 1973 ed.
  • XII, 246 p.
  • 3540065229
  • 9783540065227

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.
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