Complete measure
In mathematics, a complete measure (or, more precisely, a complete measure space) is a measure space in which every subset of every null set is measurable (having measure zero). More formally, a measure space (X, Σ, μ) is complete if and only if S ⊆ N ∈ Σ and μ ( N ) = 0 ⇒ S ∈ Σ .