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.
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页码：3271 / 3278
页数：8
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