Topological equivalence of tilings
Condensed Matter
2009-10-28 v1
Abstract
We introduce a notion of equivalence on tilings which is formulated in terms of their local structure. We compare it with the known concept of locally deriving one tiling from another and show that two tilings of finite type are topologically equivalent whenever their associated groupoids are isomorphic.
Cite
@article{arxiv.cond-mat/9609254,
title = {Topological equivalence of tilings},
author = {Johannes Kellendonk},
journal= {arXiv preprint arXiv:cond-mat/9609254},
year = {2009}
}
Comments
23 pages, Latex2e, uses amsart-style, no figures