PARTIAL REGULARITY OF ALMOST MINIMIZING RECTIFIABLE G CHAINS IN HILBERT SPACE

摘要

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 l(2) is dense in its support, whenever the group G of coefficients is so that {parallel to g parallel to : g is an element of G} is discrete.