1.

Record Nr.

UNISA996466379203316

Autore

Devlin Keith J.

Titolo

Aspects of constructibility / / K. J. Devlin

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1973]

©1973

ISBN

3-540-37821-9

Edizione

[1st ed. 1973.]

Descrizione fisica

1 online resource (XII, 246 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 354

Disciplina

511.322

Soggetti

Set theory

Model theory

Constructibility (Set theory)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.