Besicovitch-Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix (Q1668445)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Besicovitch-Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix |
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Besicovitch-Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix (English)
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28 August 2018
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The main theorem of the paper states, in slightly other words, that any \({\mathcal C}^1\)-neighbourhood of a function with constant rank of the Jacobi matrix equal to \(m\) contains a function such that its image has zero \(m\)-dimensional Hausdorff measure.
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purely unrectifiable set
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Hausdorff measure
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rank of the Jacobian matrix
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