Counterexample to the Morse-Sard theorem in the case of infinite-dimensional manifolds
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- by Ivan Kupka PDF
- Proc. Amer. Math. Soc. 16 (1965), 954-957 Request permission
References
- Anthony P. Morse, The behavior of a function on its critical set, Ann. of Math. (2) 40 (1939), no. 1, 62–70. MR 1503449, DOI 10.2307/1968544
- Arthur Sard, The measure of the critical values of differentiable maps, Bull. Amer. Math. Soc. 48 (1942), 883–890. MR 7523, DOI 10.1090/S0002-9904-1942-07811-6
- Hassler Whitney, A function not constant on a connected set of critical points, Duke Math. J. 1 (1935), no. 4, 514–517. MR 1545896, DOI 10.1215/S0012-7094-35-00138-7
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 954-957
- MSC: Primary 57.55; Secondary 57.50
- DOI: https://doi.org/10.1090/S0002-9939-1965-0182024-4
- MathSciNet review: 0182024