Submission date: 29 April 2013.

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 \omega^{\omega} is the strict upper bound for the Lascar rank of T.

Mathematics Subject Classification:

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Full text arXiv 1304.7099: pdf, ps.