A counterexample to a conjecture of Barr.
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Whitehouse, Sarah (1996)
Theory and Applications of Categories [electronic only]
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
René Guitart (2007)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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