Geodesic
On the exactness of conditions in the Federer theorem
Algebra i analiz, Tome 33 (2021) no. 1, pp. 119-135.

Voir la notice de l'article provenant de la source Math-Net.Ru

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B. M. Makarov; A. N. Podkorytov. On the exactness of conditions in the Federer theorem. Algebra i analiz, Tome 33 (2021) no. 1, pp. 119-135. http://geodesic.mathdoc.fr/item/AA_2021_33_1_a5/

[1] Federer H., “Two theorems in geometric measure theory”, Bull. Amer. Math. Soc., 72 (1966), 719 | DOI | MR | Zbl

[2] Federer G., Geometricheskaya teoriya mery, Nauka, M., 1987

[3] Norton A., “A critical set with nonnull image has large Hausdorff dimension”, Trans. Amer. Math. Soc., 296:1 (1986), 367–376 | DOI | MR | Zbl

[4] Bates S. M., “On the image size of singular maps. I”, Proc. Amer. Math. Soc., 114:1 (1992), 699–705 | DOI | MR | Zbl

[5] Bates S. M., “Toward a Precise Smoothness Hypothesis in Sard Theorem”, Proc. Amer. Math. Soc., 117:1 (1993), 279–283 | MR | Zbl

[6] Moreira C. G., “Hausdorff measures and the Morse–Sard theorem”, Publ. Math., 45 (2001), 149–162 | DOI | MR | Zbl

[7] Makarov B. M., Podkorytov A. N., Gladkie funktsii i otobrazheniya, MTsNMO, M., 2020 | MR

[8] Pesin Ya. B., Teoriya razmernosti i dinamicheskie sistemy: sovremennyi vzglyad i prilozheniya, In-t kompyuternykh issledovanii, M.–Izhevsk, 2002 | MR