Some Results on Order-Convexity
Some Results on Order-Convexity
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DOI：
10.1080/00029890.1962.11989897
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发表时间：
1962-05
影响因子：
0.5
通讯作者：
S. Franklin
中科院分区：
文献类型：
--
作者：
S. Franklin
1.导论. G. Birkhoff定义了一个类似于凸性的序理论概念（[1] p.22）。本文给出了关于序凸集及其极值点的几个结果。定理11类似于VL Klee [3]的定理，而定理III是Krein-Mil'man定理[4]（[2] p.84）的序理论类似物。
1. Introduction. G. Birkhoff defines an order-theoretical concept analogous to convexity ([1] p. 22). This paper presents several results concerning order convex sets and their extreme points. Theorem 11 is analogous to a theorem of VL Klee [3], while Theorem Ill is an order-theoretic analogue of the Krein-Mil'man theorem [4]([2] p. 84).