Maximal equicontinuous factors and cohomology for tiling spaces
type: Item
instance of: scholarly article
title: Maximal equicontinuous factors and cohomology for tiling spaces
zbMATH Open document ID: 1279.37018
author: Scott Schmieding
author: Marcy Barge
author: Johannes Kellendonk
published in: Fundamenta Mathematicae
publication date: 2012-09-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1204.1432
Mathematics Subject Classification ID: 37B50
Mathematics Subject Classification ID: 37B05
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 54H11
Mathematics Subject Classification ID: 55N05
zbMATH DE Number: 6083175
zbMATH Keywords: tiling spaced
zbMATH Keywords: maximal equicontinuous factor
MaRDI profile type: Publication
OpenAlex ID: W3106009875
arXiv ID: 1204.1432
DOI: 10.4064/FM218-3-3
review text: 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.
reviewed by: Mike Hurley
description: scientific article; zbMATH DE number 6083175