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Kueker's conjecture for stable theories

Published:1989-03 Issue:1 Volume:54 Page:207-220
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Hrushovski Ehud

Abstract

AbstractKueker's conjecture is proved for stable theories, for theories that interpret a linear ordering, and for theories with Skolem functions. The proof of the stable case involves certain results on coordinatization that are of independent interest.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference12 articles.

1. [H] Hrushovski E. , Contributions to stable model theory, Ph.D. thesis, University of California, Berkeley, California, 1986.

2. Logic with the quantifier “there exist uncountably many”

3. A survey of basic stability theory, with particular emphasis on orthogonality and regular types

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1. Ample pairs;Fundamenta Mathematicae;2019

2. On the class of flat stable theories;Annals of Pure and Applied Logic;2018-08

3. On VC-minimal theories and variants;Archive for Mathematical Logic;2013-05-28

4. On Kueker's conjecture;The Journal of Symbolic Logic;2012-12

5. A trichotomy of countable, stable, unsuperstable theories;Transactions of the American Mathematical Society;2010-09-23

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