Maximal equicontinuous factors and cohomology for tiling spaces

• Autorzy: Marcy Barge , Johannes Kellendonk , Scott Schmieding
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54H11: Topological groups
• 37B50: Multi-dimensional shifts of finite type, tiling dynamics
• 55N05: \v Cech types
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 218
• Numer: 3
• Strony: 243-267

Daty

wydano

2012

Twórcy

autor

Marcy Barge

• Department of Mathematics, Montana State University, Bozeman, MT 59717, U.S.A.

autor

Johannes Kellendonk

• 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

autor

Scott Schmieding

• Department of Mathematics, University of Maryland, College Park, MD 20742-4015, U.S.A.

Identyfikatory

DOI

10.4064/fm218-3-3