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Can I read Continuous Hull of a Combinatorial Pentagonal Tiling as an Inverse Limit on EtoBox?

Continuous Hull of a Combinatorial Pentagonal Tiling as an Inverse Limit by Ramirez-Solano, Maria is a scholarly article available to read on EtoBox.

What is Continuous Hull of a Combinatorial Pentagonal Tiling as an Inverse Limit about?

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.

Author
Ramirez-Solano, Maria
Published
2013
Language
EN

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