Symmetric interval identification systems of order three
Dynamical Systems
2011-11-17 v3 Geometric Topology
Abstract
In the present paper we study interval identification systems of order three. We prove that the Rauzy induction preserves symmetry: for any symmetric interval identification system of order three after finitely many iterations of the Rauzy induction we always obtain a symmetric system. We also provide an example of symmetric interval identification system of thin type.
Cite
@article{arxiv.1010.1820,
title = {Symmetric interval identification systems of order three},
author = {Alexandra Skripchenko},
journal= {arXiv preprint arXiv:1010.1820},
year = {2011}
}