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Intersecting families of convex cover orderm

✍ Scribed by Marilyn Breen

Publisher: Springer
Year: 1976
Tongue: English
Weight: 253 KB
Volume: 5
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00148142

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✦ Synopsis

Let S=cl(intS) be a subset of the plane, Q the set of points of local nonconvexity of S, Q finite, with p a point in (bdryS n ker S)~ Q. If ~ denotes the collection of all maximal families of wedges of S having convex cover order m, m> 1, then the members of Ad,( are characterized in the following manner: For Wo a wedge of S, Wo is in 0..~ ¢ if and only if for every Wo in Wo and every collection of points wl, ..., Wm in S, then [wi, ws]~S for at least one pair i,], O<<_i<j<m.

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