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DTSTART;TZID=Asia/Seoul:20220907T163000
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SUMMARY:Dömötör Pálvölgyi\, C-P3O: Orientation of convex sets and other good covers
DESCRIPTION: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 order types of planar point sets. Our main result is that P3O that emerge from points sets\, p-P3O\, and P3O that emerge from convex sets\, C-P3O\, do not contain each other. We also extend our orientation to other good covers from convex sets and study the resulting P3O’s.\nBased on joint work with Agoston\, Damasdi\, and Keszegh:\nhttps://arxiv.org/abs/2206.01721\nhttps://arxiv.org/abs/2206.01723
URL:https://dimag.ibs.re.kr/event/2022-09-07/
LOCATION:Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]
CATEGORIES:Virtual Discrete Math Colloquium
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