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arXiv · 1507.07346

A Gromov's dimension comparison estimate for rectifiable sets

Valentino Magnani·Aleksandra Zapadinskaya
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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.

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Valentino Magnani, Aleksandra Zapadinskaya. 2015-07-27. A Gromov's dimension comparison estimate for rectifiable sets. https://arxiv.org/abs/1507.07346

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