A Whitney-stratified curve in $\mathbb {R}^3$ with multiple-point projections
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- by Michal Kwiecinski and Laurent Noirel PDF
- Proc. Amer. Math. Soc. 124 (1996), 1277-1279 Request permission
Abstract:
We construct a compact $\mathcal C^\infty$ Whitney-stratified curve in $\mathbf R^3$, such that each of its plane projections has an infinite number of multiple points.References
- MichałKwieciński and Laurent Noirel, Sur une question de René Thom à propos des projections d’une stratification de Whitney, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 2, 149–152 (French, with English and French summaries). MR 1260328
- R. Thom, Quid des stratifications canoniques, in Singularities, Proc. Lille 1991 (J. P. Brasselet, ed.), London Math. Soc. Lecture Note Series, No. 201, 1994.
Additional Information
- Michal Kwiecinski
- Affiliation: Uniwersytet Jagielloński, Instytut Matematyki, ul. Reymonta 4, 30-059 Kraków, Poland
- Address at time of publication: Equipe CNRS SiGmA, CIRM Luminy Case 916, 13288 Marseille Cedex 9, France
- Email: kwiecins@im.uj.edu.pl, michal@cirm5.univ-mrs.fr
- Laurent Noirel
- Affiliation: URA 225 du CNRS, UFR MIM, Université de Provence, 3 Place Victor Hugo, 13331 Marseille Cedex 3, France
- Email: noirel@gyptis.univ-mrs.fr
- Received by editor(s): October 1, 1994
- Communicated by: James E. West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1277-1279
- MSC (1991): Primary 57N80; Secondary 53A04
- DOI: https://doi.org/10.1090/S0002-9939-96-03503-4
- MathSciNet review: 1343707