Some Properties of the Closure Operator of a Pi-space

被引：0
作者：
Mao, Hua [1 ]
Liu, Sanyang [2 ]
机构：
[1] Hebei Univ, Dept Math, Baoding 071002, Peoples R China
[2] Xidian Univ, Dept Math, Xian 710071, Shaanxi, Peoples R China
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2011年 / 51卷 / 03期
关键词：
pi-space; closure operator; closed set; dual; automorphism;
D O I：
10.5666/KMJ.2011.51.3.311
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we generalize the definition of a closure operator for a finite matroid to a pi-space and obtain the corresponding closure axioms. Then we discuss some properties of pi-spaces using the closure axioms and prove the non-existence for the dual of a pi-space. We also present some results on the automorphism group of a pi-space.
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收藏
页码：311 / 322
页数：12
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