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
收藏
页码：3271 / 3278
页数：8
相关论文
共 50 条
[31]   On Sprays of Scalar Curvature and Metrizability [J].
Yang, Guojun .
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (04)
[32]   Metrizability of minimal and unbounded topologies [J].
Kandic, M. ;
Taylor, M. A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) :144-159
[33]   ON METRIZABILITY OF INVARIANT AFFINE CONNECTIONS [J].
Tanaka, Erico ;
Krupka, Demeter .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2012, 9 (01)
[34]   Metrizability and dynamics of Weil bundles [J].
Stephane Tchuiaga ;
Moussa Koivogui ;
Fidèle Balibuno .
Afrika Matematika, 2025, 36 (2)
[35]   Coarse quotients of metric spaces and embeddings of uniform Roe algebras [J].
Braga, Bruno M. .
JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2022, 16 (04) :1337-1361
[36]   On metrizability of images of ordered compacta [J].
Daniel, D. .
HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (04) :1047-1059
[37]   Additivity of metrizability and related properties [J].
Balogh, Z ;
Gruenhage, G ;
Tkachuk, V .
TOPOLOGY AND ITS APPLICATIONS, 1998, 84 (1-3) :91-103
[38]   Metrizability of paratopological (semitopological) groups [J].
Liu, Chuan .
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (05) :1415-1420
[39]   On the Non Metrizability of Berwald Finsler Spacetimes [J].
Fuster, Andrea ;
Heefer, Sjors ;
Pfeifer, Christian ;
Voicu, Nicoleta .
UNIVERSE, 2020, 6 (05)
[40]   Metrizability problem for spray on Lie algebroids [J].
Pirbodaghi, Zahra ;
Rezaii, Morteza Mir Mohammad .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (09)
12345