  We show the existence of generalized clusters of a finite or even infinite
number of sets, with minimal total perimeter and given total masses, in metric
measure spaces homogeneous with respect to a group acting by measure preserving
homeomorphisms, for a quite wide range of perimeter functionals. Such
generalized clusters are a natural "relaxed'' version of a cluster and can be
thought of as ``albums'' with possibly infinite pages, having a minimal cluster
drawn on each page, the total perimeter and the vector of masses being
calculated by summation over all pages, the total perimeter being minimal among
all generalized clusters with the same masses. The examples include any
anisotropic perimeter in a Euclidean space, as well as a hyperbolic plane with
the Riemannian perimeter and Heisenberg groups with a canonical left invariant
perimeter or its equivalent versions.
