An Approximation Theorem for Maps Between Tiling Spaces
Dynamical Systems
2018-07-10 v2 Metric Geometry
Abstract
We show that every continuous map from one translationally finite tiling space to another can be approximated by a local map. If two local maps are homotopic, then the homotopy can be chosen so that every interpolating map is also local.
Cite
@article{arxiv.0906.4741,
title = {An Approximation Theorem for Maps Between Tiling Spaces},
author = {Betseygail Rand and Lorenzo Sadun},
journal= {arXiv preprint arXiv:0906.4741},
year = {2018}
}
Comments
Updated to version accepted for publication