Continuous selections avoiding extreme points

Takamitsu Yamauchi

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Continuous selections avoiding extreme points

机译：连续选择避免极端

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摘要

It is shown that if X is a countably paracompact collectionwise normal space, Y is a Banach space and φ : X → 2~Y is a lower semicontinuous mapping such that φ(x) is Y or a compact convex subset with Card φ(x) > 1 for each x ∈ X, then φ admits a continuou

机译：结果表明，如果X是一个可算的超紧致集合正态空间，则Y是一个Banach空间，并且φ：X→2〜Y是一个下半连续映射，使得φ（x）是Y或Cardφ（x ）对于每个x∈X> 1，则φ允许连续

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来源
《Topology and its applications》 |2008年第8期|p.916-922|共7页
作者
Takamitsu Yamauchi;
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作者单位

Department of Mathematics, Shimane University, Matsue 690-8504, Japan;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
set-valued mapping; selection; extreme point; countable paracompactness;

机译：集值映射;选择;极点;可数超紧性;

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Continuous selections avoiding extreme points

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