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Simultaneous Packing and Covering in Sequence Spaces |
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| Authors: | Konrad J Swanepoel |
| Institution: | 1.Fakult?t für Mathematik,Technische Universit?t Chemnitz,Chemnitz,Germany |
| Abstract: | We adapt a construction of Klee (1981) to find a packing of unit balls in ℓ p (1≤p<∞) which is efficient in the sense that enlarging the radius of each ball to any R>21−1/p covers the whole space. We show that the value 21−1/p is optimal. Dedicated to the memory of Victor Klee. |
| Keywords: | Packings Coverings Simultaneous packing and covering constant ℓ p sequence space Closest packing Loosest covering |
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