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arXiv · 1910.02537

A Note on Alberti's Luzin-Type Theorem for Gradients

Siran Li
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Abstract

We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory and topology. Applications to the $C^2$-rectifiability problem are also discussed.

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Siran Li. 2019-10-06. A Note on Alberti's Luzin-Type Theorem for Gradients. https://arxiv.org/abs/1910.02537

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