Universal metric spaces and factorization theorems

被引：0
|
作者：
Husek, Miroslav [2 ]
Watson, Stephen [1 ]
机构：
[1] York Univ, Dept Math, N York, ON M3J 1P3, Canada
[2] Charles Univ, Dept Math, Prague 18600, Czech Republic
来源：
TOPOLOGY AND ITS APPLICATIONS | 1996年 / 74卷 / 1-3期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Metrizable space; Factorization; Almost coreflection;
D O I：
10.1016/S0166-8641(96)00059-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that every continuous mapping from a metrizable space into a T-0-space X can be factorized via a metrizable space of cardinality at most 2(wX). The assumption of T-0 is essential. This solves completely a Herrlich's problem about almost coreflectivity of metrizable spaces.
引用
收藏
页码：259 / 263
页数：5
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