Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 229

Topological Equivalence of Tilings

J. Kellendonk

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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