On generalized metric properties of the Fell hyperspace

被引：3

作者：

Hola, L'ubica ^{[1
]}

Zsilinszky, Laszlo ^{[2
]}

机构：

[1] Acad Sci, Inst Math, Bratislava 81473, Slovakia

[2] Univ N Carolina, Dept Math & Comp Sci, Pembroke, NC 28372 USA

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2015年 / 194卷 / 05期

关键词：

Fell topology; Vietoris topology; Tychonoff plank; Extent; Spread; Metrizable; Lindelof; (hereditary) normal; Monotonically normal; delta-Normal; Pseudonormal; Countably paracompact; DELTA-NORMALITY; SPACES; TOPOLOGY; PARACOMPACTNESS; COMPACTNESS;

D O I：

10.1007/s10231-014-0418-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that if contains a closed uncountable discrete subspace, then the Tychonoff plank embeds in the hyperspace CL(X) of the non-empty closed subsets of with the Fell topology as a closed subspace. As a consequence, a plethora of properties is proved to be equivalent to normality and metrizability, respectively, of (CL(X), tau(F)) Countable paracompactness, pseudonormality and other weak normality properties of the Fell topology are also characterized.

引用

页码：1259 / 1267

页数：9

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