Geodesic
Coarse homology theories
Mitchener, Paul D1
1Department of Mathematics and Computer Science, Odense University, Denmark
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 271-297
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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.

DOI : 10.2140/agt.2001.1.271
Keywords: coarse geometry, exotic homology, coarse Baum–Connes conjecture, Novikov conjecture

Mitchener, Paul D  1

1 Department of Mathematics and Computer Science, Odense University, Denmark 
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Mitchener, Paul D. Coarse homology theories. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 271-297. doi: 10.2140/agt.2001.1.271

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