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.
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页码：203 / 214
页数：12
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