ABSTRACT

For a sequence of differentials rn and any given i — 3 ,4 ,5 ,6 we can define not only absolute continuity in the sense of (ACi)

absolute continuity. (See Exercise 3 in §8.1 .) For i = 3 we have rn uniform ly abso lu te ly continuous with respect to a on a cell K for all n if given ε > 0 there exists δ > 0 such that ι/(1βτη) < ε for all n and all subsets E of K for which i/( le &) < δ. Uniformity here lies in the independence of δ from n.