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

页码：55 / 67

页数：13

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