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Dömötör Pálvölgyi, C-P3O: Orientation of convex sets and other good covers
Dömötör Pálvölgyi, C-P3O: Orientation of convex sets and other good covers
We introduce a novel definition of orientation on the triples of a family of pairwise intersecting planar convex sets and study its properties. In particular, we compare it to other systems of orientations on triples that satisfy a natural interiority condition. Such systems, P3O (partial 3-order), are a natural generalization of posets, and include the …