旋转镶嵌空间的上同调
Cohomology of rotational tiling spaces
摘要：
定义了一个谱序列，它收敛于具有欧氏有限局部复杂度的平面平铺的欧氏壳的Čech上同调。第二页的术语由平铺的所谓的ePE同调群和ePE上同调群确定，并且唯一潜在的非平凡边界映射在其局部补丁方面具有简单的组合描述。利用这个谱序列，我们计算了彭罗斯镶嵌的欧几里得壳的Čech上同调。
英文摘要：
A spectral sequence is defined which converges to the Čech cohomology of the Euclidean hull of a tiling of the plane with Euclidean finite local complexity. The terms of the second page are determined by the so-called ePE homology and ePE cohomology groups of the tiling, and the only potentially non-trivial boundary map has a simple combinatorial description in terms of its local patches. Using this spectral sequence, we compute the Čech cohomology of the Euclidean hull of the Penrose tilings.
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