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Regularity of Maximum Distance Minimizers

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Published in 2018 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-018-3866-1

Abstract: We study properties of sets having the minimum length (one-dimensional Hausdorff measure) in the class of closed connected sets Σ ⊂ ℝ2 satisfying the inequality maxyϵM dist (y, Σ) ≤ r for a given compact set M ⊂… read more here.

Keywords: distance; maximum distance; point; distance minimizer ... See more keywords