A simple proof of the Morse-Sard theorem in Sobolev spaces

Figalli, Alessio

doi:10.1090/S0002-9939-08-09321-0

A simple proof of the Morse-Sard theorem in Sobolev spaces
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Proc. Amer. Math. Soc. 136 (2008), 3675-3681 Request permission

Abstract:

In this paper we give a new simple proof of a result of Luigi De Pascale, which states that the Morse-Sard Theorem holds under the hypothesis of Sobolev regularity. Moreover, as our proof is independent of the Morse-Sard Theorem with $C^k$ regularity, our result implies the classical Morse-Sard Theorem.

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