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Affability of equivalence relations arising from two-dimensional substitution tilings

Research paper by Hiroki Matui

Indexed on: 17 Nov '05Published on: 17 Nov '05Published in: Mathematics - Dynamical Systems



Abstract

We will show that an equivalence relation on a Cantor set arising from a two-dimensional substitution tiling by polygons is affable in the sense of Giordano, Putnam and Skau.