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Coarse homology theories and finite decomposition complexity

Ulrich Bunke, Alexander Engel, Daniel Kasprowski and Christoph Winges

Algebraic & Geometric Topology 19 (2019) 3033–3074
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.

Keywords
coarse homology theories, finite decomposition complexity
Mathematical Subject Classification 2010
Primary: 20F69
Secondary: 20F65
References
Publication
Received: 7 June 2018
Revised: 22 January 2019
Accepted: 9 February 2019
Published: 20 October 2019
Authors
Ulrich Bunke
Fakultät für Mathematik
Universität Regensburg
Regensburg
Germany
Alexander Engel
Fakultät für Mathematik
Universität Regensburg
Regensburg
Germany
Daniel Kasprowski
Mathematisches Institut
Rheinische Friedrich-Wilhelms-Universität Bonn
Bonn
Germany
Christoph Winges
Mathematisches Institut
Rheinische Friedrich-Wilhelms-Universität Bonn
Bonn
Germany