• Corpus ID: 232403992

Bounded cohomology and homotopy colimits

@inproceedings{Raptis2021BoundedCA,
  title={Bounded cohomology and homotopy colimits},
  author={George E. Raptis},
  year={2021}
}
We discuss an approach to the covering and 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. 
Bounded acyclicity and relative simplicial volume
We provide new vanishing and glueing results for relative simplicial volume, following up on two current themes in bounded cohomology: The passage from amenable groups to boundedly acyclic groups and
On the simplicial volume and the Euler characteristic of (aspherical) manifolds
. A well-known question by Gromov asks whether the vanishing of the simplicial volume of oriented closed aspherical manifolds implies the vanishing of the Euler characteristic. We study various

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