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

Alessio Figalli
2008 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-08-09321-0 fatcat:m7qgqivcxneq7jqzu5ssvbl5r4