Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660473 | Topology and its Applications | 2007 | 5 Pages |
Abstract
Suppose Tφ and Tθ are tiling spaces arising from primitive nonperiodic substitutions φ and θ. Suppose Fφ and Fθ denote the corresponding inflation and substitution maps on the respective tiling spaces. We prove that Tφ and Tθ are homeomorphic if and only if there exist positive integers m and n such that and are topologically conjugate.
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