ON THE ASYMPTOTIC EXTENSION DIMENSION

被引:0
|
作者
Repovs, D. [1 ]
Zarichnyi, M. [2 ]
机构
[1] Univ Ljubljana, Ljubljana, Slovenia
[2] Lviv Natl Univ, Lvov, Ukraine
关键词
Asymptotic Dimension; Proper Function; Extension Dimension; Manifold Versus; Geodesic Space;
D O I
10.1007/s11253-011-0466-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.
引用
收藏
页码:1766 / 1774
页数:9
相关论文
共 50 条
  • [1] On the asymptotic extension dimension
    D. Repovš
    M. Zarichnyi
    Ukrainian Mathematical Journal, 2011, 62
  • [2] On transfinite extension of asymptotic dimension
    Radul, T.
    TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (14) : 2292 - 2296
  • [3] Asymptotic dimension
    Bell, G.
    Dranishnikov, A.
    TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (12) : 1265 - 1296
  • [4] On equivariant asymptotic dimension
    Sawicki, Damian
    GROUPS GEOMETRY AND DYNAMICS, 2017, 11 (03) : 977 - 1002
  • [5] On asymptotic power dimension
    Kucab, Jacek
    Zarichnyi, Mykhailo
    TOPOLOGY AND ITS APPLICATIONS, 2016, 201 : 124 - 130
  • [6] PROPERTY A AND ASYMPTOTIC DIMENSION
    Cencelj, Matija
    Dydak, Jerzy
    Vavpetic, Ales
    GLASNIK MATEMATICKI, 2012, 47 (02) : 441 - 444
  • [7] Polynomial growth and asymptotic dimension
    Papasoglu, Panos
    ISRAEL JOURNAL OF MATHEMATICS, 2023, 255 (02) : 985 - 1000
  • [8] Asymptotic dimension of intersection graphs
    Dvorak, Zdenek
    Norin, Sergey
    EUROPEAN JOURNAL OF COMBINATORICS, 2025, 123
  • [9] Asymptotic dimension of discrete groups
    Dranishnikov, A
    Smith, J
    FUNDAMENTA MATHEMATICAE, 2006, 189 (01) : 27 - 34
  • [10] Hausdorff dimension and asymptotic cycles
    Pollicott, M
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3241 - 3252