Topology of some tiling spaces without finite local complexity
Topology of some tiling spaces without finite local complexity
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一些没有有限局部复杂度的平铺空间的拓扑
DOI：
10.3934/dcds.2009.23.847
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发表时间：
2007
影响因子：
1.1
通讯作者：
L. Sadun
中科院分区：
文献类型：
--
作者：
N. Frank;L. Sadun
平铺理论的一个基本假设是相邻的瓦片可以满足
只有有限的几种方式，直到刚性运动。然而，在这方面，
有许多有趣的平铺空间没有这个
财产它们有“断层线”，瓷砖可以沿着断层线滑动
彼此过去。我们研究了某一类
这种类型的平铺空间。我们证明它们可以写成
CW复形的逆极限，它们的Cech上同调是
与断层线的性质有关。
A basic assumption of tiling theory is that adjacent tiles can meet
in only a finite number of ways, up to rigid motions. However,
there are many interesting tiling spaces that do not have this
property. They have "fault lines", along which tiles can slide
past one another. We investigate the topology of a certain class of
tiling spaces of this type. We show that they can be written as
inverse limits of CW complexes, and their Cech cohomology is
related to properties of the fault lines.