Conjugacies between horseshoe braids

摘要

A proof is given of part of a conjecture about the way in which the set of horseshoe braid types is organized by the forcing partial order. Horseshoe periodic orbits are labelled by their height (a rational number) and decoration (a word in the symbols 0 and 1), and it is shown that, with the exception of the so-called limit cases, periodic orbits of the same height and decoration have the same braid type. [References: 10]