23 citations · 101 across the 29 of their papers we have counts for
6 papers · 1 filter
On the Borsuk number of four-dimensional sets
Zsolt Langi
Borsuk conjectured that every n-dimensional bounded set of positive diameter can be partitioned into n+1 sets of smaller diameters. This conjecture was proved for n=2 by Borsuk, fo…
On universal covers for four-dimensional sets of a given diameter
Zsolt Langi
Makeev proved that among centrally symmetric four-dimensional polytopes, with more than twenty facets and circumscribed about the Euclidean ball of diameter one, there is no univer…
On the perimeters of simple polygons contained in a plane convex body
Zsolt Lángi
A simple n-gon is a polygon with n edges such that each vertex belongs to exactly two edges and every other point belongs to at most one edge. Brass, Moser and Pach asked the follo…
On diagonalizable operators in Minkowski spaces with the Lipschitz property
Zsolt Langi
A real semi-inner-product space is a real vector space $\M$ equipped with a function $[.,.] : \M \times \M \to \Re$ which is linear in its first variable, strictly positive and sat…
On the perimeters of simple polygons contained in a disk
Zsolt Langi
A simple -gon is a polygon with edges with each vertex belonging to exactly two edges and every other point belonging to at most one edge. Brass asked the following question…
On the Hadwiger numbers of starlike disks
Zsolt Langi
The Hadwiger number of a topological disk in is the maximal number of pairwise nonoverlapping translates of that touch . It is well known that for a conve…