Homology for one-dimensional solenoids
classification
🧮 math.DS
keywords
homologyone-dimensionalsmalesolenoidsauthorclasscomputeconstructed
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Smale space is a particular class of hyperbolic topological dynamical systems, defined by David Ruelle. The third author constructed a homology theory for Smale spaces which is based on 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.
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