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

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.