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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Supported by the Ministry of Education, Science and Technological Development of Serbia (ON 174026).
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Tanović, P. Simple groups and the number of countable models. Arch. Math. Logic 52, 779–791 (2013). https://doi.org/10.1007/s00153-013-0343-x
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DOI: https://doi.org/10.1007/s00153-013-0343-x