Nets of subgroups and amenability

I. Schochetman
1971 Proceedings of the American Mathematical Society  
We first investigate some convergence properties of nets in the topological space of closed subgroups of a locally compact group. We then use these properties to answer some questions concerning the amenable subgroups.
doi:10.1090/s0002-9939-1971-0281837-0 fatcat:vjfo5y34irfbplzmxigdd5bani