Generalized Convex Envelopes of Sets and the Problem of Shadow

被引：0
作者：
Zelinskii Y.B. [1 ]
机构：
[1] Institute of Mathematics of the NAS of Ukraine, Kiev
来源：
Journal of Mathematical Sciences | 2015年 / 211卷 / 5期
关键词：
ball; convexity; Euclidean space; linear convexity; sphere;
D O I：
10.1007/s10958-015-2626-8
中图分类号：
学科分类号：
摘要：
The principal goal of the present work is to solve the problem of shadow for any convex set with nonempty interior in the n-dimensional Euclidean space and under the action of a group of transformations. This problem can be considered as the determination of conditions ensuring the membership of a point to a generalized convex envelope of the family of sets obtained from the initial set by the action of the group of transformations. © 2015, Springer Science+Business Media New York.
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页码：710 / 717
页数：7
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