A Gromov's dimension comparison estimate for rectifiable sets
Differential Geometry
2015-07-28 v1
Abstract
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.
Cite
@article{arxiv.1507.07346,
title = {A Gromov's dimension comparison estimate for rectifiable sets},
author = {Valentino Magnani and Aleksandra Zapadinskaya},
journal= {arXiv preprint arXiv:1507.07346},
year = {2015}
}
Comments
18 pages