Aspects of Constructibility

K. J. Devlin

ISBN 10: 3540065229 / ISBN 13: 9783540065227

Editore: Springer Berlin Heidelberg Dez 1973, 1973

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 256 pp. Englisch.

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Dati bibliografici

• Titolo: Aspects of Constructibility
• Editore: Springer Berlin Heidelberg Dez 1973
• Data di pubblicazione: 1973
• Lingua: Inglese
• ISBN 10: 3540065229
• ISBN 13: 9783540065227
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 15 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 15 millimetri di profondità
• Peso: 394 grammi

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Contenuti

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.