Open AccessTopological equivalence of tilings
Author(s) -
Johannes Kellendonk
Publication year - 1997
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.531915
Subject(s) - substitution tiling , mathematics , equivalence (formal languages) , pure mathematics , combinatorics , discrete mathematics , topology (electrical circuits)
We introduce a notion of equivalence on tilings which is formulated in termsof their local structure. We compare it with the known concept of locallyderiving one tiling from another and show that two tilings of finite type aretopologically equivalent whenever their associated groupoids are isomorphic.Comment: 23 pages, Latex2e, uses amsart-style, no figure
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