Characterizations of paracompact-like properties by means of set-valued semi-continuous selections

Characterizations of paracompact-like properties by means of set-valued semi-continuous selections
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DOI:
10.1090/s0002-9939-01-06204-9
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发表时间:
2001-04
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通讯作者:
Kazumi Miyazaki
Kazumi Miyazaki
中科院分区:
其他
文献类型:
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作者:
Kazumi Miyazaki

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利用集值半连续选择给出了可数仿紧集态正规空间的一个刻划。这为V. Gutev的一个问题提供了一个肯定的答案。
We give a characterization of countably paracompact and collectionwise normal spaces by means of set-valued semi-continuous selections. This provides a positive answer to a problem of V. Gutev.