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Blaschke and Separation Theorems for Orthogonally Convex Sets by An, Phan Thanh; Le, Nguyen Thi is a scholarly article available to read on EtoBox.

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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.

Author

An, Phan Thanh; Le, Nguyen Thi

Published

2022

Language

EN