  Bounded-cohomological dimension of groups is a relative of classical
cohomological dimension, defined in terms of bounded cohomology with trivial
coefficients instead of ordinary group cohomology. We will discuss
constructions that lead to groups with infinite bounded-cohomological
dimension, and we will provide new examples of groups with
bounded-cohomological dimension equal to 0. In particular, we will prove that
every group functorially embeds into an acyclic group with trivial bounded
cohomology.
