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Aspects of Constructibility / by Keith J. Devlin.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
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Format:
Book
Author/Creator:
Devlin, Keith J., author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 354.
Lecture Notes in Mathematics, 0075-8434 ; 354
Language:
English
Subjects (All):
Mathematics.
Mathematics, general.
Local Subjects:
Mathematics, general.
Physical Description:
1 online resource (XII, 246 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1973.
System Details:
text file PDF
Contents:
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.
Other Format:
Printed edition:
ISBN:
9783540378211
Access Restriction:
Restricted for use by site license.

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