Aspects of Constructibility
Devlin, Keith J.
Aspects of Constructibility [electronic resource] / by Keith J. Devlin. - XII, 246 p. online resource. - Lecture Notes in Mathematics, 354 0075-8434 ; . - Lecture Notes in Mathematics, 354 .
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 -- 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.
9783540378211
10.1007/BFb0059290 doi
Mathematics.
Mathematics, general.
QA1-939
510
Aspects of Constructibility [electronic resource] / by Keith J. Devlin. - XII, 246 p. online resource. - Lecture Notes in Mathematics, 354 0075-8434 ; . - Lecture Notes in Mathematics, 354 .
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 -- 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.
9783540378211
10.1007/BFb0059290 doi
Mathematics.
Mathematics, general.
QA1-939
510