投影点模式的上同调群
Cohomology groups for projection point patterns
摘要：
非周期点集（或称镶嵌）是由高维周期集通过切割和投影得到的，它在准晶的描述中起着重要的作用。它们的拓扑不变量可以用高维周期结构来计算。我们报告的结果得到的上同调群的投影点模式补充明确的计算F。Gaehler为许多著名的二十面体镶嵌。
英文摘要：
Aperiodic point sets (or tilings) which can be obtained by the method of cut and projection from higher dimensional periodic sets play an important role for the description of quasicrystals. Their topological invariants can be computed using the higher dimensional periodic structure. We report on the results obtained for the cohomology groups of projection point patterns supplemented by explicit calculations made by F. Gaehler for many well-known icosahedral tilings.
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