SEMI-TERMINAL CONTINUA IN KELLEY SPACES

被引：2
|
作者：
Prajs, Janusz R. [1 ,2 ]
机构：
[1] Calif State Univ Sacramento, Dept Math & Stat, Sacramento, CA 95819 USA
[2] Univ Opole, Inst Math, PL-45052 Opole, Poland
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 06期
关键词：
Ample; continuum; filament; homogeneous; semi-indecomposable; semi-terminal; HEREDITARILY UNICOHERENT CONTINUA; HOMOGENEOUS CONTINUA; ABSOLUTE RETRACTS; FILAMENT SETS; DECOMPOSITIONS; APOSYNDESIS;
D O I：
10.1090/S0002-9947-2011-04917-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A continuum K in a space X is said to be semi-terminal if at least one out of every two disjoint continua in X intersecting K is contained in K. Based on this concept, new structural results on Kelley continua are obtained. In particular, two decomposition theorems for Kelley continua are presented. One of these theorems is an improved version of the aposyndetic decomposition theorem for Kelley continua.
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页码：2803 / 2820
页数：18
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