The hyperspace of hereditarily decomposable subcontinua of a cube is the Hurewicz set

被引：4

作者：

Samulewicz, Alicja ^{[1
]}

机构：

[1] Silesian Tech Univ, Fac Math & Phys, Inst Math, PL-44101 Gliwice, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 05期

关键词：

analytic set; absorber; continuum; hereditarily decomposable; Hilbert cube; Hurewicz set; hyperspace; pseudoarc;

D O I：

10.1016/j.topol.2005.07.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hyperspaces of hereditarily decomposable continua and of decomposable subcontinua without pseudoarcs in the cube of dimension greater than 2 are homeomorphic to the Hurewicz set of all nonempty countable closed subsets of the unit interval [0.1]. Moreover, in Such a cube. all indecomposable subcontinua form a homotopy dense subset of the hyperspace of(nonempty) subcontinua. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：985 / 995

页数：11

共 12 条

[1]

[Anonymous], 1978, FUND MATH

[2]

Banakh T., 1996, ABSORBING SETS INFIN

[3] TOPOLOGICAL CHARACTERIZATION OF THE SPACE OF CONTINUOUS-FUNCTIONS [J].