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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Level sets of a typical $C^n$ function


Authors: Udayan B. Darji and Michal Morayne
Journal: Proc. Amer. Math. Soc. 127 (1999), 2917-2922
MSC (1991): Primary 26A21, 26A16
Published electronically: April 23, 1999
MathSciNet review: 1605944
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Abstract: We determine the level set structure of a typical $C^n$ function.


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Additional Information

Udayan B. Darji
Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292
Email: ubdarj01@athena.louisville.edu

Michal Morayne
Affiliation: Mathematical Institute, Polish Academy of Sciences, Ul. Kopernika 18, 51-617 Wroclaw, Poland
Email: morayne@im.pwn.wroc.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04872-8
PII: S 0002-9939(99)04872-8
Keywords: Level sets, $C^n$ functions, typical function
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
Article copyright: © Copyright 1999 American Mathematical Society