  This work explores models of opinion dynamics with opinion-dependent
connectivity. Our starting point is that individuals have limited capabilities
to engage in interactions with their peers. Motivated by this observation, we
propose a continuous-time opinion dynamics model such that interactions take
place with a limited number of peers: we refer to these interactions as
topological, as opposed to metric interactions that are postulated in classical
bounded-confidence models. We observe that topological interactions produce
equilibria that are very robust to perturbations.
