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THEORIES WITH DISTAL SHELAH EXPANSIONS

Part of: Model theory

Published online by Cambridge University Press:  08 March 2023

GARETH BOXALL  and
CHARLOTTE KESTNER
GARETH BOXALL
Affiliation:
MATHEMATICS DIVISION DEPARTMENT OF MATHEMATICAL SCIENCES STELLENBOSCH UNIVERSITY PRIVATE BAG X1, MATIELAND 7602 STELLENBOSCH, SOUTH AFRICA E-mail: [email protected]
CHARLOTTE KESTNER*
Affiliation:
MATHEMATICS DEPARTMENT IMPERIAL COLLEGE LONDON 180 QUEENSGATE LONDON SW7 2AZ, UK
*
E-mail: [email protected]
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Abstract

We show that a complete first-order theory T is distal provided it has a model M such that the theory of the Shelah expansion of M is distal.

Keywords

model theorydistalityNIPShelah expansions

MSC classification

Primary: 03C45: Classification theory, stability and related concepts 03C50: Models with special properties (saturated, rigid, etc.)
Type
Article
Information
The Journal of Symbolic Logic , Volume 88 , Issue 4 , December 2023 , pp. 1323 - 1333
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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References

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