A characterization theorem for tilings having countably many singular points |
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Authors: | Marilyn Breen |
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Institution: | (1) Department of Mathematics, University of Oklahoma, 73019 Norman, Oklahoma, USA |
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Abstract: | LetT be a tiling of the plane. At most countably many points of U{bdry T T inT} fail to lie in a nondegenerate edge ofT if and only ifT has at most countably many singular points. The result fails without the requirement that the edges be nondegenerate. Moreover, countably many cannot be replaced by finitely many in the theorem. |
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Keywords: | Primary 52 A45 |
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