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Singular points of a star-finite tiling

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Abstract

Let ℐ be a star-finite tiling of a topological vector space of dimension greater than one and let S(ℐ) denote the set of singular points of ℐ. We show that S(ℐ) is either uncountable or empty by investigating the density in S(ℐ) of certain subcollections of geometrically interesting singular points.

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Nielsen, M.J. Singular points of a star-finite tiling. Geom Dedicata 33, 99–109 (1990). https://doi.org/10.1007/BF00147605

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  • DOI: https://doi.org/10.1007/BF00147605

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