ON THE SMOOTHNESS HYPOTHESIS IN SARDS THE OREM ABOUT THE RANK-0 SET

Authors
COMTE G
Citation
G. Comte, ON THE SMOOTHNESS HYPOTHESIS IN SARDS THE OREM ABOUT THE RANK-0 SET, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(2), 1996, pp. 143-146
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
2
Year of publication
1996
Pages
143 - 146
Database
ISI
SICI code
0764-4442(1996)323:2<143:OTSHIS>2.0.ZU;2-F
Abstract
In this Note, after remarking that one can improve on the smoothness h ypotheses stated by Norton and Bates for Sard's theorem about the rank -0 set, we give a construction showing that the improved hypotheses ar e the best possible.