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• W1490278464 abstract "We show that any codimension one hyperbolic attractor of a diffeomorphism of a (d+1)-dimensional closed manifold is shape equivalent to a (d+1)-dimensional torus with a finite number of points removed, or, in the non-orientable case, to a space with a 2 to 1 covering by such a torus-less-points. Furthermore, we show that each orientable attractor is homeomorphic to a tiling space associated to an aperiodic tiling of Rd, but that the converse is generally not true. This work allows the definition of a new invariant for aperiodic tilings, in many cases finer than the cohomological or K-theoretic invariants studied to date." @default.
• W1490278464 created "2016-06-24" @default.
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• W1490278464 date "2012-10-11" @default.
• W1490278464 modified "2023-09-27" @default.
• W1490278464 title "Tiling spaces, codimension one attractors and shape" @default.
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• W1490278464 hasPublicationYear "2012" @default.
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