Cover image for Aspects of Constructibility
Aspects of Constructibility
Title:
Aspects of Constructibility
ISBN:
9783540378211
Personal Author:
Edition:
1st ed. 1973.
Publication Information New:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1973.
Physical Description:
XII, 246 p. online resource.
Series:
Lecture Notes in Mathematics, 354
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.
Subject Term:
Added Corporate Author:
Language:
English