Extension dimension and refinable maps

被引:1
|
作者
Chigogidze, A
Valov, V
机构
[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada
[2] Univ Swaziland, Dept Math, Kwaluseni, Swaziland
关键词
extension dimension; refinable maps; CW-complex; weakly infinite-dimensional spaces;
D O I
10.1023/A:1013882904215
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Extension dimension is characterized in terms of omega -maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is also shown that refinable maps preserve some infinite-dimensional properties.
引用
收藏
页码:185 / 194
页数:10
相关论文
共 50 条
  • [31] Spaces of discrete shape and c-refinable maps that induce shape equivalences
    Moron, MA
    delPortal, FRR
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1997, 49 (04) : 713 - 721
  • [32] The order dimension of planar maps
    Brightwell, GR
    Trotter, WT
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 1997, 10 (04) : 515 - 528
  • [33] ON CLOSED MAPS INCREASING DIMENSION
    ARHANGEL.A
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1968, 18 (03) : 389 - &
  • [34] Hyperbolic dimension for interval maps
    Dobbs, Neil
    NONLINEARITY, 2006, 19 (12) : 2877 - 2894
  • [35] Dimension Theory for Multimodal Maps
    Iommi, Godofredo
    Todd, Mike
    ANNALES HENRI POINCARE, 2011, 12 (03): : 591 - 620
  • [36] EXTENDING MAPS AND DIMENSION THEORY
    WENNER, BR
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 691 - &
  • [37] Dimension Theory for Multimodal Maps
    Godofredo Iommi
    Mike Todd
    Annales Henri Poincaré, 2011, 12 : 591 - 620
  • [38] On the Order Dimension of Outerplanar Maps
    Felsner, Stefan
    Nilsson, Johan
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2011, 28 (03): : 415 - 435
  • [39] On the Order Dimension of Outerplanar Maps
    Stefan Felsner
    Johan Nilsson
    Order, 2011, 28 : 415 - 435
  • [40] David maps and Hausdorff dimension
    Zakeri, S
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (01) : 121 - 138