Introduction to preconvexity spaces

被引：3
|
作者：
Guay, MD [1 ]
机构：
[1] Univ Maine, Dept Math & Stat, Coll Arts & Sci, Portland, ME 04104 USA
来源：
ACTA MATHEMATICA HUNGARICA | 2004年 / 105卷 / 03期
关键词：
preconvexity; convexity space; convexity hull;
D O I：
10.1023/B:AMHU.0000049290.67473.2c
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Axioms are given for a preconvexity space and certain consequences obtained. In particular, it is shown that in a very natural way, a preconvexity on a space yields an abstract convexity space in much the same manner as a proximity yields a topological space.
引用
收藏
页码：241 / 248
页数：8
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