Algebraic & Geometric Topology

Coarse homology theories and finite decomposition complexity

Ulrich Bunke, Alexander Engel, Daniel Kasprowski, and Christoph Winges

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Abstract

Using the language of coarse homology theories, we provide an axiomatic account of vanishing results for the fibres of forget-control maps associated to spaces with equivariant finite decomposition complexity.

Article information

Source
Algebr. Geom. Topol., Volume 19, Number 6 (2019), 3033-3074.

Dates
Received: 7 June 2018
Revised: 22 January 2019
Accepted: 9 February 2019
First available in Project Euclid: 29 October 2019

Permanent link to this document
https://projecteuclid.org/euclid.agt/1572314549

Digital Object Identifier
doi:10.2140/agt.2019.19.3033

Mathematical Reviews number (MathSciNet)
MR4023335

Subjects
Primary: 20F69: Asymptotic properties of groups
Secondary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]

Keywords
coarse homology theories finite decomposition complexity

Citation

Bunke, Ulrich; Engel, Alexander; Kasprowski, Daniel; Winges, Christoph. Coarse homology theories and finite decomposition complexity. Algebr. Geom. Topol. 19 (2019), no. 6, 3033--3074. doi:10.2140/agt.2019.19.3033. https://projecteuclid.org/euclid.agt/1572314549


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References

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