The Morse criticality revisited and some new applications to the Morse–Sard theorem

Author:

Kang Xiaosong,Xu Xu,Zhang Dunmu

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference27 articles.

1. Alberti, G., Bianchini, S., Grippa, G.: Structure of level sets and Sard-type properties of Lipschitz maps. Ann. Scuda Norm. Sup. Pisa Cl. Sci. (5) 12(4), 863–902 (2013)

2. Bates, S.M.: Toward a precise smoothness hypothesis in Sard’s theorem. Proc. Am. Soc. 117(1), 279–283 (1993)

3. Bochnak, J., Łojasiewicz, S.: A converse of the Kuiper–Kuo theorem. Lecture Notes Math. 192, 254–261 (1970)

4. Bourgain, J., Korobkov, M., Kristensen, J.: On the Morse–Sard property and level sets of Sobolev and BV functions. Rev. Math. Iberoam. 29(31), 1–23 (2013)

5. de Moreira, C.G.T.: Hausdorff measure and the Morse–Sard theorem. Publ. Math. 45(1), 149–162 (2001)

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