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Pattern equivariant functions, deformations and equivalence of tiling spaces

Published online by Cambridge University Press:  01 August 2008

JOHANNES KELLENDONK
JOHANNES KELLENDONK*
Affiliation:
Université de Lyon, Université Lyon 1, CNRS, UMR 5208 Institut Camille Jordan, Batiment du Doyen Jean Braconnier, 43 blvd du 11 novembre 1918, F-69622 Villeurbanne Cedex, France
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Abstract

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We re-investigate the theory of deformations of tilings using P-equivariant cohomology. In particular, we relate the notion of asymptotically negligible shape functions introduced by Clark and Sadun to weakly P-equivariant forms. We then investigate more closely the relation between deformations of patterns and homeomorphism or topological conjugacy of pattern spaces.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 4 , August 2008 , pp. 1153 - 1176
Copyright
Copyright © 2008 Cambridge University Press

References

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