quasimeasure

noun2

1. •
   An imprecise means of measuring something.
2. •
   A nonnegative increasing semiadditive set function defined on a ring of sets that is continuous above the origin and takes its values in the extended domain of real numbers.

   • Motivated by the Arzel\`a-Ascoli theorem for Cᵇ(X,E), where X is an^([sic]) Euclidean space and E an arbitrary Banach space, we construct a quasimeasure for this space and study its properties. — 2016