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

页码：163 / 164

页数：2

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