Maximal equicontinuous factors and cohomology for tiling spaces

Marcy Barge; Johannes Kellendonk; Scott Schmieding

doi:10.4064/fm218-3-3

Maximal equicontinuous factors and cohomology for tiling spaces

Marcy Barge^*, Johannes Kellendonk, Scott Schmieding

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	243-267
Number of pages	25
Journal	Fundamenta Mathematicae
Volume	218
Issue number	3
DOIs	https://doi.org/10.4064/fm218-3-3
State	Published - 2012

ASJC Scopus subject areas

Algebra and Number Theory

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Maximal equicontinuous factors and cohomology for tiling spaces

Abstract

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