On the Packing Densities and the Covering Densities of the Cartesian Products of Convex Bodies

• Autores: Chuanming Zong
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 145, Nº 1, 2005, págs. 73-81
• Idioma: inglés
• DOI: 10.1007/s00605-004-0274-z
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• Resumen

  • In this article we study the following problem: Is the covering (packing) density of a Cartesian product of two convex bodies always equal to the product of their corresponding covering (packing) densities? For the covering case we get a negative answer. For the packing case we get a combinatorial version which seems to be important for its own interest.