2009/10/01 by Todd Fisher, Fisher, Todd
Computer Science · Mathematics · #37B99 #37C15 #37D05 #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.0910.0237
openalex publication_date 2009/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we extend certain central results of zero dimensional systems to higher dimensions. The first main result shows that if (Y,f) is a finitely presented system, then there exists a Smale space (X,F) and a u-resolving factor map π+: X→ Y. If the finitely presented system is transitive, then we show there is a canonical minimal u-resolving Smale space extension. Additionally, we show that any finite-to-one factor map between transitive finitely presented systems lifts through u-resolving maps to an s-resolving map.