An exponential mapping over set-valued mappings

被引：0
|
作者：
Gutev, V [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Math & Stat Sci, Fac Sci, ZA-4041 Durban, South Africa
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2000年 / 26卷 / 04期
关键词：
set-valued mapping; selection; selection homotopy extension;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper presents an approach to "selection homotopy extension" properties of set-valued mappings showing that they become equivalent to usual selection extension properties of exponential set-valued mappings associated to them. As a result, several "controlled" homotopy extension theorems are obtained like consequences of ordinary selection theorems. Also, involving set-valued mappings, a simple proof of the Borsuk homotopy extension theorem is given.
引用
收藏
页码：721 / 739
页数：19
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