TY - JOUR
AU - Amini, Massoud
AU - Putnam, Ian F.
AU - Saeidi Gholikandi, Sarah
PY - 2017/10/22
Y2 - 2021/10/19
TI - Homology for one-dimensional solenoids
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 121
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-26265
UR - https://www.mscand.dk/article/view/26265
SP - 219-242
AB - <p>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.</p>
ER -