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September 2006 T-height in weakly o-minimal structures
James Tyne
J. Symbolic Logic 71(3): 747-762 (September 2006). DOI: 10.2178/jsl/1154698574

Abstract

Given a weakly o-minimal theory T, the T-height of an element of a model of T is defined as a means of classifying the order of magnitude of the element. If T satisfies some easily met technical conditions, then this classification is coarse enough for a Wilkie-type inequality: given a set of elements of a model of T, each of which has a different T-height, the cardinality of this set is at most 1 plus the minimum cardinality of a set that generates the structure.

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James Tyne. "T-height in weakly o-minimal structures." J. Symbolic Logic 71 (3) 747 - 762, September 2006. https://doi.org/10.2178/jsl/1154698574

Information

Published: September 2006
First available in Project Euclid: 4 August 2006

zbMATH: 1116.03034
MathSciNet: MR2250818
Digital Object Identifier: 10.2178/jsl/1154698574

Rights: Copyright © 2006 Association for Symbolic Logic

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Vol.71 • No. 3 • September 2006
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