Representation of linear sets as critical sets
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- by Robert Kaufman
- Proc. Amer. Math. Soc. 25 (1970), 884-889
- DOI: https://doi.org/10.1090/S0002-9939-1970-0260940-4
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Abstract:
A class of linear sets investigated by Besicovitch and Taylor is related to the critical set of differentiable mappings of a specified degree of smoothness. An example is constructed to show that certain results on Hausdorff measure are nearly best-possible.References
- A. S. Besicovitch and S. J. Taylor, On the complementary intervals of a linear closed set of zero Lebesgue measure, J. London Math. Soc. 29 (1954), 449–459. MR 64849, DOI 10.1112/jlms/s1-29.4.449
- Arthur Sard, Images of critical sets, Ann. of Math. (2) 68 (1958), 247–259. MR 100063, DOI 10.2307/1970246
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 25 (1970), 884-889
- MSC: Primary 26.35
- DOI: https://doi.org/10.1090/S0002-9939-1970-0260940-4
- MathSciNet review: 0260940