Filament sets and decompositions of homogeneous continua

被引：3
|
作者：
Prajs, Janusz R.
Whittington, Keith [1 ]
机构：
[1] Univ Pacific, Stockton, CA 95211 USA
[2] Calif State Univ Sacramento, Dept Math & Stat, Sacramento, CA 95819 USA
[3] Univ Opole, Inst Math, PL-45052 Opole, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 09期
基金：
美国国家科学基金会;
关键词：
homogeneous; continuum; filament;
D O I：
10.1016/j.topol.2007.01.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper applies the concepts introduced in the article: Filament sets and homogeneous continua [J.R. Prajs, K. Whittington, Filament sets and homogeneous continua, Topology Appl. 154 (8) (2007) 1581-1591, doi:10.1016/j.topol.2006.12.005] to decompositions of homogeneous continua. Several new or strengthened results on aposyndesis are given. Newly defined decompositions are discussed. A proposed classification scheme for homogeneous continua is shown to be mostly invariant under Jones' aposyndetic decomposition. (c) 2007 Elsevier B.V. All rights reserved.
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页码：1942 / 1950
页数：9
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