Tube-null sets

Speaker: Viktor Harangi (Renyi Institute)

Abstract: A set in the plane is called 'tube-null' if it can be covered by strips of arbitrarily small total width. (A strip is the region between two parallel lines.) Any such set can appear as the set of divergence for the localization problem. It turns out that there are not many methods for proving that a given set is not tube-null, and even for very concrete sets, like the snowflake curve, it can be hard to decide whether they are tube-null or not.