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Topological Properties of Legendrian Singularities

Published online by Cambridge University Press:  20 November 2018

Shyüichi Izumiya
Shyüichi Izumiya*
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
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Abstract

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A wavefront set is defined to be an image of Legendrian mapping. In this note we prove that generic wavefront sets have stable local topological structures by using Mather's stratification theory.

Keywords

58C27
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 3 , 01 September 1991 , pp. 357 - 363
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Arnol'd, V. I., Gusein-Zade, S. M. and Varchenko, A. N., Singularities of differentiable maps , vol 1, Monographs in Mathematics 82, Birkhauser, 1985.Google Scholar
2. Gibson, C. G., Wirthmiiller, K., A. A. du Plessis and Looijenga, E. J., Topological stability of smooth mappings. Lecture Notes in Mathematics 552, Springer-Verlag, 1976.Google Scholar
3. Mather, J. N., How to stratify mappings and jet spaces , in Lecture Notes in mathematics 553, Springer- Verlag, 1976.Google Scholar
4. Zakalyukin, V. M., Lagrangian and Legendrian singularities, Funct. Anal. Appl. 10 (1976), 23–31.Google Scholar