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.
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页码：1203 / 1210
页数：8
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