NEIGHBORLINESS OF THE SYMMETRIC MOMENT CURVE
نویسندگان
چکیده
منابع مشابه
Neighborliness of the Symmetric Moment Curve
in R, where t ranges over the unit circle S = R/2πZ. The curve Uk(t) is locally neighborly: as long as t1, . . . , tk lie in an open arc of S of a certain length φk > 0, the convex hull of the points Uk (t1) , . . . , Uk (tk) is a face of Bk. We characterize the maximum possible length φk, proving, in particular, that φk > π/2 for all k and that the limit of φk is π/2 as k grows. This allows us...
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ژورنال
عنوان ژورنال: Mathematika
سال: 2012
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579312000010