Homology for one-dimensional solenoids

Homology for one-dimensional solenoids

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 th...

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Hauptverfasser: Amini, Massoud, Putnam, Ian F, Gholikandi, Sarah Saeidi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
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Zusammenfassung: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.
DOI:10.48550/arxiv.1307.0977