Some generalization of Steinhaus' lattice points problem

• Autorzy: Paweł Zwoleński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 46C15: Characterizations of Hilbert spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 1
• Strony: 129-132

Daty

wydano

2011

Twórcy

autor

Paweł Zwoleński

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm123-1-9