Coarse homology theories

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.

Keywords

coarse geometry, exotic homology, coarse Baum–Connes conjecture, Novikov conjecture

Mathematical Subject Classification 2000

Primary: 55N35, 55N40

Secondary: 19K56, 46L85

References

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Publication

Received: 12 February 2001

Revised: 10 May 2001

Accepted: 16 May 2001

Published: 22 May 2001

Authors

Paul D Mitchener
Department of Mathematics and Computer Science Odense University Denmark
http://www.imada.sdu.dk/~mitchene/index2.html

Volume 1, issue 1 (2001)

Paul D Mitchener