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AuthorDevlin, Keith J. author
TitleAspects of Constructibility [electronic resource] / by Keith J. Devlin
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1973
Connect tohttp://dx.doi.org/10.1007/BFb0059290
Descript XII, 246 p. online resource

CONTENT

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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