A Gromov's dimension comparison estimate for rectifiable sets
classification
🧮 math.DG
keywords
comparisondimensionestimategromovmappingsrectifiablesetssobolev
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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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