Some generalization of Steinhaus' lattice points problem

Paweł Zwoleński. "Some generalization of Steinhaus' lattice points problem." Colloquium Mathematicae 123.1 (2011): 129-132. <http://eudml.org/doc/283454>.

@article{PawełZwoleński2011,
abstract = {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.},
author = {Paweł Zwoleński},
journal = {Colloquium Mathematicae},
keywords = {Steinhaus' problems; lattice points; Hilbert spaces; Baire category theorem},
language = {eng},
number = {1},
pages = {129-132},
title = {Some generalization of Steinhaus' lattice points problem},
url = {http://eudml.org/doc/283454},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Paweł Zwoleński
TI - Some generalization of Steinhaus' lattice points problem
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 1
SP - 129
EP - 132
AB - 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.
LA - eng
KW - Steinhaus' problems; lattice points; Hilbert spaces; Baire category theorem
UR - http://eudml.org/doc/283454
ER -