We discuss an approach to the \emph{covering} and \emph{vanishing} theorems for the comparison map from bounded cohomology to singular cohomology, based on the observation that the comparison map is the coassembly map for bounded cohomology.
Symplectic Groups, Mapping Class Groups and the Stability of Bounded Cohomology
Bounded cohomology of discrete groups
Homotopy colimits of classifying spaces of abelian subgroups of a finite group
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