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arXiv · 1304.7099

Simple groups and the number of countable models

Predrag Tanović
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Abstract

Let $T$ be a complete, superstable theory with fewer than $2^{\aleph_{0}}$ countable models. Assuming that generic types of infinite, simple groups definable in $T^{eq}$ are sufficiently non-isolated we prove that $ω^ω$ is the strict upper bound for the Lascar rank of $T$.

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Predrag Tanović. 2013-04-26. Simple groups and the number of countable models. https://doi.org/10.1007/s00153-013-0343-x

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