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- W2019510582 abstract "Let M be an arbitrary Riemannian homogeneous space, and let Omega be a space of tilings of M, with finite local complexity (relative to some symmetry group Gamma) and closed in the natural topology. Then Omega is the inverse limit of a sequence of compact finite-dimensional branched manifolds. The branched manifolds are (finite) unions of cells, constructed from the tiles themselves and the group Gamma. This result extends previous results of Anderson and Putnam, of Ormes, Radin and Sadun, of Bellissard, Benedetti and Gambaudo, and of Gahler. In particular, the construction in this paper is a natural generalization of Gahler's." @default.
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- W2019510582 date "2003-10-21" @default.
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- W2019510582 title "Tiling spaces are inverse limits" @default.
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- W2019510582 doi "https://doi.org/10.1063/1.1613041" @default.
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