On the Packing Densities and the Covering Densities of the Cartesian Products of Convex Bodies |
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Authors: | Chuanming Zong |
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Affiliation: | (1) Peking University, P.R. China |
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Abstract: | 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. |
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Keywords: | 2000 Mathematics Subject Classifications: 11H31 52C17 |
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