Topological equivalence of tilings

Details Topological equivalence of tilings Topological equivalence of tilings

1996-09-26

arxiv.org/abs/cond-mat/9609254v1

Physics

Condensed Matter

23 pages, Latex2e, uses amsart-style, no figures

Scientific paper

10.1063/1.531915

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.

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