A note on the metrizability of spaces

被引：7

作者：

Weiss, Ittay ^{[1
]}

机构：

[1] Univ S Pacific, Sch Comp Informat & Math Sci, Suva, Fiji

来源：

ALGEBRA UNIVERSALIS | 2015年 / 73卷 / 02期

关键词：

metrizability; quantale; value quantale; quantale valued metric space; continuity space; QUANTALES;

D O I：

10.1007/s00012-015-0319-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of metrizability and we propose two (in some sense dual) interpretations of it. One interpretation leads to considering the category of metrizable spaces. This is the classical approach with numerous well-known results. The second interpretation leads to considering an extension of the category of metric spaces. This is achieved in the more recent work of Flagg.

引用

页码：179 / 182

页数：4

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