Coarse homology theories

Abstract

In this paper we develop an axiomatic approach to coarse homology theories. We prove a uniqueness result concerning coarse homology theories on the category of `coarse CW-complexes'. This uniqueness result is used to prove a version of the coarse Baum-Connes conjecture for such spaces.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-13.abs.html

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• Equivariant Coarse (Co-)Homology Theories
• Coronae of relatively hyperbolic groups and coarse cohomologies
• Addendum to "Coarse homology theories"
• Cyclic homology for bornological coarse spaces