论文标题
$ \ mathbb {r}^2 $中的集合的表征带有直流距离函数
A characterization of sets in $\mathbb{R}^2$ with DC distance function
论文作者
论文摘要
我们给出了封闭集的完整表征$ f \ subset \ mathbb {r}^2 $，其距离函数$ d_f：= \ mathrm {dist}（\ cdot，f）$ is dc（即，是$ \ m athbb {r}^2 $）。使用此表征，证明了此类集合的许多属性。
We give a complete characterization of closed sets $F \subset \mathbb{R}^2$ whose distance function $d_F:= \mathrm{dist}(\cdot,F)$ is DC (i.e., is the difference of two convex functions on $\mathbb{R}^2$). Using this characterization, a number of properties of such sets is proved.
