论文标题
正交凸组的blaschke和分离定理
Blaschke and Separation Theorems for Orthogonally Convex Sets
论文作者
论文摘要
在本文中，我们处理正交凸集的分析和几何特性。我们使用正交凸路路径在平面中建立了一个用于路径连接和正交凸的蓝藻型定理。这些集合的分离是使用合适的网格建立的。因此，封闭式和正交凸组由平面中楼梯半平面的相交表示。还给出了在维空间中正交凸集集的一些拓扑特性。
In this paper, we deal with analytic and geometric properties of orthogonally convex sets. We establish a Blaschke-type theorem for path-connected and orthogonally convex sets in the plane using orthogonally convex paths. The separation of these sets is established using suitable grids. Consequently, a closed and orthogonally convex set is represented by the intersection of staircase-halfplanes in the plane. Some topological properties of orthogonally convex sets in dimensional spaces are also given.
