SIMULTANEOUS METRIZABILITY OF COARSE SPACES

被引：4

作者：

Wright, Nick ^{[1
]}

机构：

[1] Univ Southampton, Southampton SO17 1BJ, Hants, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 09期

关键词：

Coarse geometry; metrizability; assembly map;

D O I：

10.1090/S0002-9939-2011-10805-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of these. We conclude with an application to the construction of the coarse assembly map.

引用

页码：3271 / 3278

页数：8

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