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The Continuity of the Visibility Function on a Starshaped Set
Published online by Cambridge University Press: 20 November 2018
Extract
The visibility function assigns to each point x of a fixed measurable set E in a Euclidean space En the Lebesgue outer measure of S(x), the set {y : rx + (1 — r)y ∊ E for every r in [0, 1]}.
The purpose of this paper is to determine sufficient conditions for the continuity of the function on the interor of a starshaped set.
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- Copyright © Canadian Mathematical Society 1972
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