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Level sets of a typical  function
Author(s):
Udayan
B.
Darji;
Michal
Morayne
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2917-2922.
MSC (1991):
Primary 26A21, 26A16
Posted:
April 23, 1999
MathSciNet review:
1605944
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Abstract:
We determine the level set structure of a typical  function.
References:
- 1.
- A. M. Bruckner, Differentiation of Real Functions, Second edition. CRM Monograph Series, 5. American Mathematical Society. MR 94m:26001
- 2.
- 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 57:16487
- 3.
- 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
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:
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
Posted:
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 of article:
Copyright
1999,
American Mathematical Society
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