Pattern equivariant functions and cohomology

Details Pattern equivariant functions and cohomology Pattern equivariant functions and cohomology

2002-11-29

arxiv.org/abs/math-ph/0211071v1

Physics

Mathematical Physics

8 pages including 2 figures

Scientific paper

10.1088/0305-4470/36/21/306

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.

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