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Fundamental cocycles of tiling spaces
Published online by Cambridge University Press: 04 June 2001
Abstract
We study continuous cocycles defined on the set of planar tilings with values in discrete groups. Following Schmidt we show that for generalized domino tilings, L-tiles, and some systems of paths there exists a fundamental cocycle, i.e. we find a cocycle cf, so that all other continuous cocycles c are cohomologous to a homomorphic image of cf.
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- Research Article
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- 2001 Cambridge University Press
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