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In which metric spaces are parallel bodies of closed sets closed?
Published online by Cambridge University Press: 20 January 2009
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Let X be a metric space with metric d and for each x in X let Bλ[x] denote the closed ball of radius λ about x. Following Valentine [15] if K⊂X and λ is positive, then we call the set Bλ[K]=∪x∈KBλ[x] the λ-parallel body of K. The following fact is obvious.
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- Copyright © Edinburgh Mathematical Society 1983