Aspects of Constructibility [electronic resource] / by Keith J. Devlin.
Material type: TextSeries: Lecture Notes in Mathematics ; 354Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1973Description: XII, 246 p. online resourceContent type:- text
- computer
- online resource
- 9783540378211
- 510 23
- QA1-939
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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