We adapt to an infinite dimensional ambient space E.R. Reifenberg's
epiperimetric inequality and a quantitative version of D. Preiss' second
moments computations to establish that the set of regular points of an almost
mass minimizing rectifiable G chain in ℓ2 is dense in its support,
whenever the group G of coefficients is so that {∥g∥:g∈G} is
discrete and closed.Comment: 96 page