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arXiv 2000-10-27 0 views

Topological invariants for projection method patterns

Forrest, Alan · Hunton, John · Kellendonk, Johannes

Original · EN

We analyze and compare different dynamical systems and groupoids which can be obtained from projection point patterns. We define the cohomology of a point pattern as the cocycle cohomology of the pattern groupoid. We describe this cohomology qualitatively and calculate it for canonical projection method tilings with codimension smaller or equal than 3.

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