Approaching points by continuous selections

被引：5

作者：

Gutev, Valentin ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Fac Sci, Sch Math Sci, ZA-4041 Durban, South Africa

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2006年 / 58卷 / 04期

关键词：

hyperspace topology; Vietoris topology; continuous selection;

D O I：

10.2969/jmsj/1179759545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some further results about special Vietoris continuous selections and totally disconnected spaces are obtained, also several applications are demonstrated. In particular, it is demonstrated that a homogeneous separable metrizable space has a continuous selection for its Vietoris hyperspace if and only if it is discrete, or a discrete sum of copies of the Cantor set, or is the irrational numbers.

引用

页码：1203 / 1210

页数：8

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