Friday, November 15, 201312:30 pmModel theory seminarGC 6417

On dense independent subsets of geometric structures

Yevgeniy Vasilyev

Memorial University of Newfoundland and Christopher Newport University

Yevgeniy Vasilyev

We consider expansions of geometric theories obtained by adding a predicate distinguishing a “dense” independent subset, generalizing a construction introduced by A. Dolich, C. Miller and C. Steinhorn in the o-minimal context. The expansion preserves many of the properties related to stability, simplicity, rosiness and NIP. We also study the structure induced on the predicate, and show that despite its geometric triviality, it inherits most of the “combinatorial” complexity of the original theory. This is a joint work with Alexander Berenstein.