Level sets of a typical 𝐶ⁿ function

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

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.

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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
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