Friday, May 27, 201612:30 pmModel theory seminarGC 6417

Measuring definable sets in nonarchimedean o-minimal fields and an application to the reals

Jana Marikova

Western Illinois University

Jana Marikova

We introduce a measure on the definable sets in an o-minimal expansion of a real closed field which takes values in an ordered semiring and assigns a positive value to a definable set iff the interior of the set is non-empty (joint work with M. Shiota). We then discuss an application to Hausdorff dimension of metric spaces definable in o-minimal expansions of the real field (joint work with E. Walsberg).