Topological invariants for projection method patterns

Mathematics – Algebraic Topology

Scientific paper

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106 pages

Scientific paper

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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