Pattern equivariant functions, deformations and equivalence of tiling spaces

Details Pattern equivariant functions, deformations and equivalence of tiling spaces Pattern equivariant functions, deformations and equivalence of tiling spaces

2007-03-06

arxiv.org/abs/math/0703156v1

Mathematics

Dynamical Systems

Scientific paper

We reinvestigate the theory of deformations of tilings using P-equivariant
cohomology. In particular we relate the notion of asymptotically negligible
shape functions introduced by Clark and Sadun to weakly P-equivariant forms. We
then investigate more closely the relation between deformations of patterns and
homeomorphism or topological conjugacy of pattern spaces.

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