Maximal equicontinuous factors and cohomology for tiling spaces

Details Maximal equicontinuous factors and cohomology for tiling spaces Maximal equicontinuous factors and cohomology for tiling spaces

2012-04-06

arxiv.org/abs/1204.1432v1

Mathematics

Dynamical Systems

Scientific paper

We study the homomorphism induced on cohomology by the maximal equicontinuous
factor map of a tiling space. We will see that this map is injective in degree
one and has torsion free cokernel. We show by example, however, that the
cohomology of the maximal equicontinuous factor may not be a direct summand of
the tiling cohomology.

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