Algebraic, Extremal and Metric Combinatorics, 1986: On Extremal Finite Sets in the Sphere and Other Metric Spaces
Algebraic, Extremal and Metric Combinatorics, 1986: On Extremal Finite Sets in the Sphere and Other Metric Spaces
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代数、极值和度量组合，1986：关于球体和其他度量空间中的极值有限集
DOI：
10.1017/cbo9780511758881.004
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
E. Bannai
中科院分区：
文献类型：
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作者：
E. Bannai
本文的内容是根据我在1986年7月27日至8月2日在蒙特利尔会议上发表的题为《代数组合学和极值集合论》的简短综述报告而略加扩充的。本文的目的是研究球面S及其它度量空间中的良有限子集。这种研究在数学中有着悠久的历史。它的起源也许可以追溯到3研究正多面体在R（由柏拉图？）。然而，在本文中，我们将讨论的范围限制在从Delsarte理论（我们称之为代数组合学）的角度研究极值的有限子集。
The content of this paper is, thought slightly extended, based on my expository survey talk of the same title at the Montreal meeting: Algebraic Combinatorics and Extremal Set Theory, July 27-August 2, 1986. The aim of this paper is to study nice finite subsets in the sphere S and other (nice) metric spaces. This kind of study has a long history in mathematics. Its origin is perhaps traced back to the 3 study of regular polyhedrons in R(by Platon?). In this paper, however, we restrict the scope of our discussion to the study of finite subsets which are extremal from the viewpoint of Delsarte theory (which we call Algebraic Combinatorics).