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Abstract
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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.
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Keywords
coarse geometry, exotic homology, coarse Baum–Connes
conjecture, Novikov conjecture
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Mathematical Subject Classification 2000
Primary: 55N35, 55N40
Secondary: 19K56, 46L85
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Publication
Received: 12 February 2001
Revised: 10 May 2001
Accepted: 16 May 2001
Published: 22 May 2001
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