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Preprint Number 139

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139. Ziv Shami
Countable imaginary simple unidimensional theories are supersimple

Submission date: 9 November 2008


We prove that a countable simple unidimensional theory that eliminates hyperimaginaries is supersimple. This solves a problem of Shelah in the more general context of simple theories under weak assumptions.

Mathematics Subject Classification:

Keywords and phrases: unidimensional theory, forking topology, analyzability, essentially 1-based type

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