paper

Pattern equivariant functions and cohomology

arXiv:math-ph/0211071 · doi:10.1088/0305-4470/36/21/306

Abstract

The cohomology of a tiling or a point pattern has originally been defined via the construction of the hull or the groupoid associated with the tiling or the pattern. Here we present a construction which is more direct and therefore easier accessible. It is based on generalizing the notion of equivariance from lattices to point patterns of finite local complexity.

8 pages including 2 figures

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