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Aspects of Constructibility

Aspects of Constructibility

Paperback Lecture Notes in Mathematics

By (author) Keith J. Devlin

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  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Format: Paperback | 258 pages
  • Dimensions: 156mm x 234mm x 13mm | 364g
  • Publication date: 4 December 1973
  • Publication City/Country: Berlin
  • ISBN 10: 3540065229
  • ISBN 13: 9783540065227
  • Edition statement: 1973 ed.
  • Illustrations note: biography

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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.