December 2003 Ample dividing
David M. Evans
J. Symbolic Logic 68(4): 1385-1402 (December 2003). DOI: 10.2178/jsl/1067620194

Abstract

We construct a stable one-based, trivial theory with a reduct which is not trivial. This answers a question of John B. Goode. Using this, we construct a stable theory which is n-ample for all natural numbers n, and does not interpret an infinite group.

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David M. Evans. "Ample dividing." J. Symbolic Logic 68 (4) 1385 - 1402, December 2003. https://doi.org/10.2178/jsl/1067620194

Information

Published: December 2003
First available in Project Euclid: 31 October 2003

zbMATH: 1067.03045
MathSciNet: MR2017362
Digital Object Identifier: 10.2178/jsl/1067620194

Subjects:
Primary: 03C45

Keywords: CM-triviality , reducts , Stable theories , triviality

Rights: Copyright © 2003 Association for Symbolic Logic

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Vol.68 • No. 4 • December 2003
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