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arXiv · 1307.0977

Homology for one-dimensional solenoids

Massoud Amini·Ian F. Putnam·Sarah Saeidi Gholikandi
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Abstract

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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Massoud Amini, Ian F. Putnam, Sarah Saeidi Gholikandi. 2013-07-03. Homology for one-dimensional solenoids. https://arxiv.org/abs/1307.0977

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