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Pattern equivariant cohomology and deformations of tilings

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Abstract

We show that two topological conjugate tiling spaces are, in general, not mutually locally derivable. This is done by considering the Cech cohomology and pattern equivariant cohomology tiling spaces obtained by deformations.

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Tiling, Cohomology, Pattern equivariant, Deformation, Cech cohomology, SIRI

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