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A note on subsets of positive reach

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  • Alexander Lytchak

Abstract

We provide new structural results on sets of positive reach in Euclidean spaces and Riemannian manifolds. In particular, we describe neighborhoods of points, whose tangent cones have maximal dimensions.

Suggested Citation

  • Alexander Lytchak, 2024. "A note on subsets of positive reach," Mathematische Nachrichten, Wiley Blackwell, vol. 297(3), pages 932-942, March.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:3:p:932-942
    DOI: 10.1002/mana.202300094
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    References listed on IDEAS

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    1. Jan Rataj & Luděk Zajíček, 2017. "On the structure of sets with positive reach," Mathematische Nachrichten, Wiley Blackwell, vol. 290(11-12), pages 1806-1829, August.
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