  For a complete noncompact connected Riemannian manifold with bounded
geometry, we prove a compactness result for sequences of finite perimeter sets
with uniformly bounded volume and perimeter in a larger space obtained by
adding limit manifolds at infinity. We extends previous results contained in
[Nar14a], in such a way that the generalized existence theorem, Theorem 1 of
[Nar14a] is actually a generalized compactness theorem. The suitable
modifications to the arguments and statements of the results in [Nar14a] are
non-trivial. As a consequence we give a multipointed version of Theorem 1.1 of
[LW11], and a simple proof of the continuity of the isoperimetric profile
function.

Metric Geometry