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- W3100678022 abstract "Defining the $m$-th stratum of a closed subset of an $n$ dimensional Euclidean space to consist of those points, where it can be touched by a ball from at least $n-m$ linearly independent directions, we establish that the $m$-th stratum is second-order rectifiable of dimension $m$ and a Borel set. This was known for convex sets, but is new even for sets of positive reach. The result is based on a new criterion for second-order rectifiability." @default.
- W3100678022 created "2020-11-23" @default.
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- W3100678022 date "2019-09-16" @default.
- W3100678022 modified "2023-09-24" @default.
- W3100678022 title "A geometric second-order-rectifiable stratification for closed subsets of Euclidean space" @default.
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- W3100678022 doi "https://doi.org/10.2422/2036-2145.201703_021" @default.
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