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.

引用

页码：1639 / 1642

页数：4

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