The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on November 4, 2014 at 14:00 in Room 478 of IMI.

A talk on:

On closed sets with convex projections in Rⁿ

will be delivered by Stoyu Barov, IMI - BAS.

Everybody is invited.

Abstract.

Let n ≥ 2, B be a closed and nonconvex subset of Rⁿ such that the projections of B onto all hyperplanes are convex and line-free. What can we say about such a B? We show that in this case the dimension of B is at least n − 2. In addition, we present some interesting examples.