On the structure of sets with positive reach
On the structure of sets with positive reach
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DOI：
10.1002/mana.201600237
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发表时间：
2017-08-01
影响因子：
1
通讯作者：
Zajicek, Ludek
中科院分区：
文献类型：
--
作者：
Rataj, Jan;Zajicek, Ludek
给出了平面上具有正可达性的紧集（近C-1集）和Rd上具有正可达性的一维集的完全刻画。进一步，我们证明了：如果空集不等于，则R-d的子集是拓扑维数为0的正可达集
We give a complete characterization of compact sets with positive reach (proximally C-1 sets) in the plane and of one-dimensional sets with positive reach in Rd. Further, we prove that if emptyset not equal A subset of R-d is a set of positive reach of topological dimension 0