On the descriptive complexity of homogeneous continua

被引：0
|
作者：
Krupski, Pawel [1 ]
机构：
[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wybrzeze Wyspianiskiego 27, PL-50370 Wroclaw, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2021年 / 304卷
关键词：
Analytic set; Homogeneous continuum; Hyperspace;
D O I：
10.1016/j.topol.2021.107794
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the family of all homogeneous continua in the hyperspace of all subcontinua of any finite-dimensional Euclidean cube or the Hilbert cube is an analytic subspace of the hyperspace which contains a topological copy of the linear space c(0) = {(x(k)) is an element of R-omega: lim x(k) = 0} as a closed subset. (C) 2021 Elsevier B.V. All rights reserved.
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