kappa-Lindelof kappa-stratifiable spaces are kappa-metrizable

被引：0

作者：

Harris, MJ ^{[1
]}

机构：

[1] FAIRMONT STATE COLL,FAIRMONT,WV 26554

来源：

TOPOLOGY AND ITS APPLICATIONS | 1996年 / 73卷 / 03期

关键词：

stratifiable; Lindelof; linearly stratifiable; kappa-Lindelof; kappa-metrizable;

D O I：

10.1016/S0166-8641(96)00077-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A (locally) kappa-Lindelof kappa-stratifiable space is shown to be kappa-metrizable. Since the (local) kappa-Lindelof property is a weaker condition than compactness, the result generalizes Ceder's and Vaughan's theorems that compact stratifiable and compact linearly stratifiable spaces are metrizable.

引用

页码：295 / 298

页数：4