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

页码：721 / 739

页数：19

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