Short proof of a metrization theorem

被引：0
|
作者：
Moll, S. [1 ]
Ruiz, L. M. Sanchez
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, ETSIA, E-46071 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, ETSID, E-46071 Valencia, Spain
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2007年 / 14卷 / 02期
关键词：
trans-separable space; metrizable subset;
D O I：
10.36045/bbms/1179839223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we provide a new insight into trans-separable spaces, i.e. those which are separable by seminorms. This approach enables getting an easy proof of the fact that in a wide class of uniform spaces, containing (DF) and (LM)-spaces, precompact subsets are metrizable.
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页码：317 / 320
页数：4
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