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CORES OVER RAMSEY STRUCTURES

Part of: Model theory Graph theory

Published online by Cambridge University Press:  01 February 2021

ANTOINE MOTTET  and
MICHAEL PINSKER
ANTOINE MOTTET
Affiliation:
DEPARTMENT OF ALGEBRA FACULTY OF MATHEMATICS AND PHYSICS CHARLES UNIVERSITY SOKOLOVSKÁ 83, 186 00 PRAGUE 8 CZECH REPUBLICE-mail: mottet@karlin.mff.cuni.czURL:http://www.karlin.mff.cuni.cz/~mottet/
MICHAEL PINSKER
Affiliation:
DEPARTMENT OF ALGEBRA FACULTY OF MATHEMATICS AND PHYSICS CHARLES UNIVERSITY SOKOLOVSKÁ 83, 186 00 PRAGUE 8 CZECH REPUBLIC INSTITUT FÜR DISKRETE MATHEMATIK UND GEOMETRIE FG ALGEBRA, TU WIEN, VIENNA, AUSTRIAE-mail: marula@gmx.atURL:http://dmg.tuwien.ac.at/pinsker/
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Abstract

We prove that if an $\omega $ -categorical structure has an $\omega $ -categorical homogeneous Ramsey expansion, then so does its model-complete core.

Keywords

first-order reductRamsey expansionmodel-complete coreomega-categoricityhomogeneous structure

MSC classification

Primary: 03C10: Quantifier elimination, model completeness and related topics
Secondary: 05C55: Generalized Ramsey theory
Type
Article
Information
The Journal of Symbolic Logic , Volume 86 , Issue 1 , March 2021 , pp. 352 - 361
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Copyright
© The Association for Symbolic Logic 2021

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References

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