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On Covering the Unit Ball in Normed Spaces
Published online by Cambridge University Press: 20 November 2018
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By compactness, the unit ball Bn in Rn has a finite covering by translates of rBn, for any r > 0. The main theorem of this note shows that a weaker covering property does not hold in any infinite-dimensional normed space.
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- Copyright © Canadian Mathematical Society 1971
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