1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.MG2014
Large-volume open sets in normed spaces without integral distances
Sascha Kurz, Valery Mishkin
We study open sets in normed spaces attaining a large volume while avoiding pairs of points at integral distance. The proposed task is to find sharp inequalities…
math.MG2012★ 1 cited
Sets avoiding integral distances
Sascha Kurz, Valery Mishkin
We study open point sets in Euclidean spaces without a pair of points an integral distance apart. By a result of Furstenberg, Katznelson, and Weiss such sets must be…