Symmetric products as cones and products

被引：0
|
作者：
Alvarado, EC [1 ]
机构：
[1] Univ Autonoma Estado Mexico, Inst Literario 100, Fac Ciencias, Mexico City 50000, DF, Mexico
来源：
TOPOLOGY PROCEEDINGS, VOL 28, NO 1, 2004 | 2004年 / 28卷 / 01期
关键词：
arc; cone; continuum; finite graph; hyperspace; simple n-od; symmetric product;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that: (a) if X is a finite graph, then the second symmetric product F-2(X) = {{p,q} subset of X : p,q is an element of X} of X is the cone over some continuum Y, if and only if X is a simple n-od or an arc, and (b) if X is a finite graph, then F-2(X) is a product of two nondegenerate continua, if and only if X is an arc.
引用
收藏
页码：55 / 67
页数：13
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