Restricted-Orientation Convexity in Higher-Dimensional Spaces
journal contributionposted on 2000-03-01, 00:00 authored by Eugene Fink, Derick Wood
A restricted-oriented convex set is a set whose intersection with any line from a fixed set of orientations is either empty or connected. This notion generalizes both orthogonal convexity and normal convexity. The aim of this paper is to establish a mathematical foundation for the theory of restricted-oriented convex sets in higher-dimensional spaces.