Logic Seminar
Kostya Slutskyy
UIC
Regular cross-sections of Borel flows
Abstract: A cross-section of a Borel flow is a Borel set that has
countable intersection with each orbit of the flow. We shall be
interested in constructing cross-sections with a prescribed set of
possible distances between adjacent points within orbits. The main
result of the talk is that given any two rationally independent
positive reals and a free Borel flow one can always find a
cross-section with distances between adjacent points being only these
two real numbers.
We shall give an overview of the subject from both ergodic theoretical
and descriptive points of view and an application of the above result
to orbit equivalence of flows will be presented.
Tuesday October 7, 2014 at 4:00 PM in SEO 427