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The $r$-parallel set of a measurable set $A \subseteq \mathbb R^d$ is the set of all points whose distance from $A$ is at most $r$.
Über den rand von parallelkörpern
Martin Kneser · 1951
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Christer Borell · 1975
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On the volume function of parallel sets
László Stachó · 1976
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Extremal properties of half-spaces for spherically invariant measures
Vladimir N Sudakov and Boris S Tsirel’son · 1978
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