On continua whose hyperspace of subcontinua is σ-locally connected

被引：2

作者：

Krzeminska, I

Prajs, JR

机构：

[1] Opole Tech Univ, Dept Math, PL-45036 Opole, Poland

[2] Opole Univ, Inst Math, PL-45052 Opole, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 1999年 / 96卷 / 01期

关键词：

continuum; hyperspace of subcontinua; local connectedness; sigma-local connectedness; relative local connectedness; sigma-relative local connectedness;

D O I：

10.1016/S0166-8641(98)00014-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a structural characterization of all continua X whose hyperspace C(X) of all subcontinua is the countable union of Peano continua. Applying this result we prove that there exists a uniformly path connected continuum X with no continuous mapping from C(X) onto X. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：53 / 61

页数：9

共 7 条

[1] A non-g-contractible uniformly path connected continuum
Krzeminska, I
Prajs, JR
[J]. TOPOLOGY AND ITS APPLICATIONS, 1999, 91 (02) : 151 - 158
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