Abstract
We prove that any countable simple unidimensional theory T is supersimple, under the additional assumptions that T eliminates hyperimaginaries and that the Dφ-ranks are finite and definable.
Citation
Anand Pillay. "On countable simple unidimensional theories." J. Symbolic Logic 68 (4) 1377 - 1384, December 2003. https://doi.org/10.2178/jsl/1067620193
Information
Published: December 2003
First available in Project Euclid: 31 October 2003
zbMATH: 1067.03048
MathSciNet: MR2017361
Digital Object Identifier: 10.2178/jsl/1067620193
Rights: Copyright © 2003 Association for Symbolic Logic