STRONGLY PARACOMPACT METRIZABLE SPACES

被引：0

作者：

Gutev, Valentin ^{[1
]}

机构：

[1] Univ Malta, Fac Sci, Dept Math, Msida 2080, Msd, Malta

来源：

COLLOQUIUM MATHEMATICUM | 2016年 / 144卷 / 02期

关键词：

strongly paracompact space; strongly metrizable space; set-valued mapping; set-valued selection; semicontinuity; subcontinuity; SELECTIONS; SECTIONS;

D O I：

10.4064/cm6630-1-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Strongly paracompact metrizable spaces are characterized in terms of special S-maps onto metrizable non-Archimedean spaces. A similar characterization of strongly metrizable spaces is obtained as well. The approach is based on a sieve-construction of "metric"-continuous pseudo-sections of lower semicontinuous mappings.

引用

页码：203 / 214

页数：12

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