Maximal equicontinuous factors and cohomology for tiling spaces (Q2915371)
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scientific article; zbMATH DE number 6083175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal equicontinuous factors and cohomology for tiling spaces |
scientific article; zbMATH DE number 6083175 |
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Maximal equicontinuous factors and cohomology for tiling spaces (English)
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17 September 2012
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tiling spaced
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maximal equicontinuous factor
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The paper presents a study of cohomological properties of tiling spaces. Assuming some regularity, a tiling space has a unique maximal equicontinuous factor whose cohomology can be understood. Thus there is reason to study the homomorphism on cohomology induced by the projection onto the factor. This study leads to a pair of short exact sequences, both of which are shown to split for certain classes of tilings. This provides a useful invariant, as examples are presented where one or the other of these sequences do not split.
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