ONE-DIMENSIONAL NONSEPARATING PLANE CONTINUA WITH DISJOINT EPSILON-DENSE SUBCONTINUA

被引：18

作者：

CURRY, SB ^{[1
]}

机构：

[1] AUBURN UNIV,DEPT FDN ANAL & TOPOL,AUBURN,AL 36849

来源：

TOPOLOGY AND ITS APPLICATIONS | 1991年 / 39卷 / 02期

关键词：

PLANE CONTINUUM; INDECOMPOSABLE; EPSILON-DENSE;

D O I：

10.1016/0166-8641(91)90014-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The following theorem is proved: suppose X is a one-dimensional nonseparating plane continuum such that for any epsilon > 0, X has two disjoint epsilon-dense subcontinua. Then X is either indecomposable or the union of two indecomposable continua. The results is used to address a question of Knaster.

引用

页码：145 / 151

页数：7