Algebraic topology for minimal Cantor sets

被引：23
|
作者：
Gambaudo, JM
Martens, M
机构：
[1] Univ Chile, CNRS, UMI 2807, Ctr Modelamiento Matemat, Santiago, Chile
[2] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands
来源：
ANNALES HENRI POINCARE | 2006年 / 7卷 / 03期
关键词：
D O I：
10.1007/s00023-005-0255-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed graphs. This allows to study minimal Cantor sets by algebraic topological means. In particular, homology, homotopy and cohomology are related to the dynamics of minimal Cantor sets. These techniques allow to explicitly illustrate the variety of dynamical behavior possible in minimal Cantor sets.
引用
收藏
页码：423 / 446
页数：24
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