2008/08/22 by André de Carvalho, Toby Hall, de Carvalho, André +1
Mathematics · #37B10 #37B40 #37E15 #37E30 #Advanced Combinatorial Mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DS #msc:37B10 #msc:37B40 #msc:37E15 #msc:37E30
paper · pdf · doi:10.48550/arxiv.0808.3078
41 pages, 13 figures
arxiv created 2008/08/22 · openalex publication_date 2008/08/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Decoration Conjecture describes the structure of the set of braid types of Smale's horseshoe map ordered by forcing, providing information about the order in which periodic orbits can appear when a horseshoe is created. A proof of this conjecture is given for the class of so-called lone decorations, and it is explained how to calculate associated braid conjugacy invariants which provide additional information about forcing for horseshoe braids.