Level sets of a typical $C^n$ function
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- by Udayan B. Darji and Michał Morayne PDF
- Proc. Amer. Math. Soc. 127 (1999), 2917-2922 Request permission
Abstract:
We determine the level set structure of a typical $C^n$ function.References
- Andrew Bruckner, Differentiation of real functions, 2nd ed., CRM Monograph Series, vol. 5, American Mathematical Society, Providence, RI, 1994. MR 1274044, DOI 10.1090/crmm/005
- A. M. Bruckner and K. M. Garg, The level structure of a residual set of continuous functions, Trans. Amer. Math. Soc. 232 (1977), 307–321. MR 476939, DOI 10.1090/S0002-9947-1977-0476939-X
- S. Saks, Theory of Integral, Monografie Matematyczne 7, Warszawa-Lwów, 1937.
Additional Information
- Udayan B. Darji
- Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292
- MR Author ID: 318780
- ORCID: 0000-0002-2899-919X
- Email: ubdarj01@athena.louisville.edu
- Michał Morayne
- Affiliation: Mathematical Institute, Polish Academy of Sciences, Ul. Kopernika 18, 51-617 Wroclaw, Poland
- Email: morayne@im.pwn.wroc.pl
- Received by editor(s): May 14, 1997
- Received by editor(s) in revised form: December 23, 1997
- Published electronically: April 23, 1999
- Additional Notes: The second author was supported in part by KBN Grant 2P 301 04 307.
This paper was written when the second author was visiting the Department of Mathematics of the University of Louisville, Kentucky, USA - Communicated by: Frederick W. Gehring
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2917-2922
- MSC (1991): Primary 26A21, 26A16
- DOI: https://doi.org/10.1090/S0002-9939-99-04872-8
- MathSciNet review: 1605944