Besicovitch-Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix. (English) Zbl 1401.28009
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.
Reviewer: Boris A. Kats (Kazan)
MSC:
| 28A75 | Length, area, volume, other geometric measure theory |
| 57N20 | Topology of infinite-dimensional manifolds |
References:
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