Pattern equivariant functions, deformations and equivalence of tiling spaces
Dynamical Systems
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0703156,
title = {Pattern equivariant functions, deformations and equivalence of tiling spaces},
author = {Johannes Kellendonk},
journal= {arXiv preprint arXiv:math/0703156},
year = {2007}
}