Homology for one-dimensional solenoids
Dynamical Systems
2013-07-04 v1
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.
Keywords
Cite
@article{arxiv.1307.0977,
title = {Homology for one-dimensional solenoids},
author = {Massoud Amini and Ian F. Putnam and Sarah Saeidi Gholikandi},
journal= {arXiv preprint arXiv:1307.0977},
year = {2013}
}
Comments
22 pages, 6 figures