Embeddings in the Fell and Wijs']jsman Topologies

被引：0
|
作者：
Hola, Lubica [1 ]
机构：
[1] Acad Sci, Inst Math, Stefanikova 49, Bratislava 81473, Slovakia
来源：
FILOMAT | 2019年 / 33卷 / 09期
关键词：
Eembedding; hyperspace; Fell topology; Wi[!text type='js']js[!/text]man topology; omega(1); CONVERGENCE; NORMALITY;
D O I：
10.2298/FIL1909747H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that if a T-2 topological space X contains a closed uncountable discrete subspace, then the spaces (omega(1) + 1)(omega) and (omega(1) + 1)(omega 1) embed into (CL(X), tau(F)), the hyperspace of nonempty closed subsets of X equipped with the Fell topology. If (X, d) is a non-separable perfect topological space, then (omega(1) + 1)(omega) and (omega(1) + 1)(omega 1) embed into (CL(X), (tau omega(d))), the hyperspace of nonempty closed subsets of X equipped with the Wijsman topology, giving a partial answer to the Question 3.4 in [2].
引用
收藏
页码：2747 / 2750
页数：4
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