Two-pass maps and indecomposability of inverse limits of graphs

被引:0
|
作者
Ingram, W. T. [1 ]
机构
[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65409 USA
来源
TOPOLOGY PROCEEDINGS, VOL 29, NO 1, 2005 | 2005年 / 29卷 / 01期
关键词
indecomposable continuum; inverse limit; two-pass maps;
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 show that an inverse limit on an n-od using a single two-pass map produces an indecomposable continuum. This extends a well-known result for inverse limits on intervals. Then we show that if G is a graph that is neither an are nor an n-od, there is a two-pass map f of G onto itself such that (lim) under left arrow {G, f} is decomposable.
引用
收藏
页码:175 / 183
页数:9
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