Some generalization of Steinhaus' lattice points problem

Paweł Zwoleński
2011 Colloquium Mathematicum  
Steinhaus' lattice points problem addresses the question of whether it is possible to cover exactly n lattice points on the plane with an open ball for every fixed nonnegative integer n. This paper includes a theorem which can be used to solve the general problem of covering elements of so-called quasi-finite sets in Hilbert spaces. Some applications of this theorem are considered. 2010 Mathematics Subject Classification: 46C15, 54E52.
doi:10.4064/cm123-1-9 fatcat:fixuzxblengzrjr7ctdsaizeu4