An Approximation Theorem for Maps Between Tiling Spaces

Details An Approximation Theorem for Maps Between Tiling Spaces An Approximation Theorem for Maps Between Tiling Spaces

2009-06-25

arxiv.org/abs/0906.4741v1

Mathematics

Dynamical Systems

5 pages, no figures

Scientific paper

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.

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