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

页码：241 / 248

页数：8

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