Continuous hull of a combinatorial pentagonal tiling as an inverse limit
Dynamical Systems
2013-04-10 v1 Operator Algebras
Abstract
In the article "Construction of the continuous hull for the combinatorics of a regular pentagonal tiling of the plane" we constructed a compact topological space for the combinatorics of "A regular pentagonal tiling of the plane", which we call the continuous hull. We also constructed a substitution map on the space which turns out to be a homeomorphism, and so the pair given by the continuous hull and the substitution map yields a dynamical system. In this paper we show how we can write this dynamical system as another dynamical system given by an inverse limit and a right shift map.
Cite
@article{arxiv.1304.2652,
title = {Continuous hull of a combinatorial pentagonal tiling as an inverse limit},
author = {Maria Ramirez-Solano},
journal= {arXiv preprint arXiv:1304.2652},
year = {2013}
}