On countable simple unidimensional theories

Journal of Symbolic Logic 68 (4):1377-1384 (2003)
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Abstract

We prove that any countable simple unidimensional theory T is supersimple, under the additional assumptions that T eliminates hyperimaginaries and that the $D_\phi-ranks$ are finite and definable

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10.2178/jsl/1067620193

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Citations of this work

On analyzability in the forking topology for simple theories.Ziv Shami - 2006 - Annals of Pure and Applied Logic 142 (1):115-124.
On the forking topology of a reduct of a simple theory.Ziv Shami - 2020 - Archive for Mathematical Logic 59 (3-4):313-324.
On uncountable hypersimple unidimensional theories.Ziv Shami - 2014 - Archive for Mathematical Logic 53 (1-2):203-210.

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References found in this work

Lovely pairs of models.Itay Ben-Yaacov, Anand Pillay & Evgueni Vassiliev - 2003 - Annals of Pure and Applied Logic 122 (1-3):235-261.
Unidimensional theories are superstable.Ehud Hrushovski - 1990 - Annals of Pure and Applied Logic 50 (2):117-138.
Simple Theories.Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (4):522-524.

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