  We present results for Choquet integrals with minimal assumptions on the
monotone set function through which they are defined. They include the
equivalence of sublinearity and strong subadditivity independent of regularity
assumptions on the capacity, as well as various forms of standard measure
theoretic convergence theorems for these non-additive integrals, e.g. Fatou's
lemma and Lebesgue's dominated convergence theorem.
