Marcin Michalski: Avoiding rational distances

Tuesday, March 10, 2015, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Marcin Michalski (Wrocław University of Technology)

Title: Avoiding rational distances


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.

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