Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 584

Preprint Number 584

Previous Next Preprint server

584. Predrag Tanović
Simple groups and the number of countable models

Submission date: 29 April 2013.


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:

Keywords and phrases:

Full text arXiv 1304.7099: pdf, ps.

Last updated: May 22 2013 12:17 Please send your corrections to: