Aspects of constructibility

Author(s)

• Devlin, Keith J.

Bibliographic Information

Aspects of constructibility

Keith J. Devlin

（Lecture notes in mathematics, 354）

Springer-Verlag, 1973

• : u.s.
• : gw

Note

Bibliography: p. [233]-234

Description and Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA0630956X
• ISBN:
  • 0387065229
  • 3540065229
• LCCN: 73015453
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: xii, 240 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA248
  • DC : 510/.8 s
  • DC : 511/.3
• Subject Headings:
  • LCSH : Set theory
  • LCSH : Model theory
  • LCSH : Constructibility (Set theory)
• Parent Bibliography ID:
  • BA00146586