Indivisibility of balls in Euclidean n-space
نویسندگان
چکیده
منابع مشابه
A Combinatorial Result About Points and Balls in Euclidean Space
A theorem of Neumann-Lara and Urrutia [3] is generalized from the plane to arbitrary n-dimensional Euclidean space R n , solving Problem 2 of [3]. By an n-ball we mean a set of the form { Theorem 1. For each n ≥ 1 there is c n > 0 such that for any finite set X Õ R n there is A Õ X, |A| ≤ 1/ 2 (n+3) , having the following property: if B ⊇ A is an n-ball, then |B « X| ≥ c n |X|. This theorem is ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1993
ISSN: 0166-8641
DOI: 10.1016/0166-8641(93)90150-c