Continuous Selections as Uniform Limits of δ-Continuous ε-Selections

被引：0
|
作者：
Dušan Repovš
Pavel V. Semenov
机构：
[1] University of Ljubljana,Institute of Mathematics, Physics and Mechanics
[2] Moscow City Pedagogical University,Department of Mathematics
来源：
Set-Valued Analysis | 1999年 / 7卷
关键词：
multivalued mappings; continuous selections; function of nonconvexity; selection approximation property;
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中图分类号：
学科分类号：
摘要：
We prove a selection theorem which unifies the nonconvex-valued and the zero-dimensional selection theorems. Our proof is based on a new method which unifies the methods of outside and inside approximations of a given lower semicontinuous multivalued mapping. As an application, we obtain a unified selection theorem ('modulo" a countable subset of the domain) and a theorem on density of selections.
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页码：239 / 254
页数：15
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