Topological invariants for projection method patterns
classification
🧮 math.AT
cond-mat
keywords
cohomologyprojectionmethodpatternpatternspointanalyzecalculate
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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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