Geodesic
Maximal equicontinuous factors and cohomology for tiling spaces
Marcy Barge 1   ; Johannes Kellendonk 2   ; Scott Schmieding 3
1 Department of Mathematics Montana State University Bozeman, MT 59717, U.S.A.
2 Université de Lyon Université Claude Bernard Lyon 1 Institut Camille Jordan CNRS UMR 5208 43 boulevard du 11 novembre 1918 F-69622 Villeurbanne Cedex, France
3 Department of Mathematics University of Maryland College Park, MD 20742-4015, U.S.A.
Fundamenta Mathematicae, Tome 218 (2012) no. 3, pp. 243-267 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that in degree one this map is injective and has torsion free cokernel. We show by example, however, that, in degree one, the cohomology of the maximal equicontinuous factor may not be a direct summand of the tiling cohomology.
DOI : 10.4064/fm218-3-3
Keywords: study homomorphism induced cohomology maximal equicontinuous factor map tiling space see degree map injective has torsion cokernel example however degree cohomology maximal equicontinuous factor may direct summand tiling cohomology

Marcy Barge  1   ; Johannes Kellendonk  2   ; Scott Schmieding  3

1 Department of Mathematics Montana State University Bozeman, MT 59717, U.S.A.
2 Université de Lyon Université Claude Bernard Lyon 1 Institut Camille Jordan CNRS UMR 5208 43 boulevard du 11 novembre 1918 F-69622 Villeurbanne Cedex, France
3 Department of Mathematics University of Maryland College Park, MD 20742-4015, U.S.A. 
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 cohomology for tiling spaces
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 cohomology for tiling spaces
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Marcy Barge; Johannes Kellendonk; Scott Schmieding. Maximal equicontinuous factors and
 cohomology for tiling spaces. Fundamenta Mathematicae, Tome 218 (2012) no. 3, pp. 243-267. doi: 10.4064/fm218-3-3

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