Date: October 26, 1995 412 SEO 4:00
Speaker: Kitty Holland (Northern Illinois)
Title: Strongly minimal theories derived from dimension functions
Abstract: Let K be an elementary class of structures, each of which is equipped with a weak dimension function d_0. We give a sufficient set of conditions on the pair K, d_0 for the theory of saturated models of K to be strongly minimal and model complete, with algebraic closure in such models coinciding with the dependence relation associated with the smoothing d of d_0. We show how strongly minimal fusions and the new strongly minimal sets with flat geometries can be seen in this framework, giving the first proof of model completeness in each case.