2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125166We 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.Dynamical Systems37BPattern equivariant functions, deformations and equivalence of tiling spacestext