Coarse homology theories

Paul D Mitchener

doi:10.2140/agt.2001.1.271

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Home > Journals > Algebr. Geom. Topol. > Volume 1 > Issue 1 > Article

2001 Coarse homology theories

Paul D Mitchener

Algebr. Geom. Topol. 1(1): 271-297 (2001). DOI: 10.2140/agt.2001.1.271

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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.