Marcin Michalski: Avoiding rational distances
09/03/15 10:48
Tuesday, March 10, 2015 17:15
Room: D1-215
Speaker: Marcin Michalski
Title: Avoiding rational distances
Abstract. We shall present results obtained by Ashutosh Kumar in paper "Avoiding rational distances". The author showed that for any set of reals X of positive outer measure there exists a subset Y of X such that Y has the same outer measure and the distance between any distinct points of Y is irrational. We will also discuss briefly the case of higher dimensions.
Room: D1-215
Speaker: Marcin Michalski
Title: Avoiding rational distances
Abstract. We shall present results obtained by Ashutosh Kumar in paper "Avoiding rational distances". The author showed that for any set of reals X of positive outer measure there exists a subset Y of X such that Y has the same outer measure and the distance between any distinct points of Y is irrational. We will also discuss briefly the case of higher dimensions.