THE PRODUCT OF A FRECHET SPACE AND A METRIZABLE SPACE

被引：16
|
作者：
VANDOUWEN, EK
机构：
来源：
TOPOLOGY AND ITS APPLICATIONS | 1992年 / 47卷 / 03期
基金：
美国国家科学基金会;
关键词：
FRECHET SPACE; SEQUENTIAL SPACE; PRODUCT;
D O I：
10.1016/0166-8641(92)90026-V
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a simple example of a Frechet space and a metrizable space whose product is not sequential. A consequence of our example is that the product of the sequential fan and a first countable space Y is sequential iff Y is locally countably compact.
引用
收藏
页码：163 / 164
页数：2
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