Resumen de A Gromov’s dimension comparison estimate for rectifiable sets

Valentino Magnani, Aleksandra Zapadinskaya

• We extend the validity of a Gromov’s dimension comparison estimate for topological hypersurfaces to sufficiently large classes of rectifiable sets, arising from Sobolev mappings. Our tools are a suitably weak exterior differentiation for pullback differential forms and a new low rank property for Sobolev mappings