Homology for one-dimensional solenoids

• Massoud Amini ^[1] ; Ian F. Putnam ^[2] ; Sarah Saeidi Gholikandi ^[1]
  1. [1] Tarbiat Modares University

     Tarbiat Modares University

     Irán

     
  2. [2] University of Victoria

     University of Victoria

     Canadá

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 121, Nº 2, 2017, págs. 219-242
• Idioma: inglés
• DOI: 10.7146/math.scand.a-26265
• Texto completo no disponible (Saber más ...)
• Resumen

  • Smale spaces are a particular class of hyperbolic topological dynamical systems, defined by David Ruelle. The definition was introduced to give an axiomatic description of the dynamical properties of Smale's Axiom A systems when restricted to a basic set. They include Anosov diffeomeorphisms, shifts of finite type and various solenoids constructed by R. F. Williams. The second author constructed a homology theory for Smale spaces which is based on (and extends) Krieger's dimension group invariant for shifts of finite type. In this paper, we compute this homology for the one-dimensional generalized solenoids of R. F. Williams