Date: October 26, 1995  412 SEO   4:00<br>

Speaker: Kitty Holland (Northern Illinois)<br>

Title: Strongly minimal theories derived from dimension functions<br>

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.