Locally arcwise connected metrizable spaces with the fixed point property are complete-metrizable

被引：1
|
作者：
Niemiec, P [1 ]
机构：
[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 11期
关键词：
complete metrizability; local connectedness; fixed point property;
D O I：
10.1016/j.topol.2005.05.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Metrizable spaces which have no closed subset homeomorphic to the real halfline are considered. Complete-metrizability of such locally arcwise connected spaces is proved (Corollary 4) and a simple formula for a complete metric is given in Theorem 3. (C) 2005 Elsevier B.V. All rights reserved.
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页码：1639 / 1642
页数：4
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