Geodesic
Topological Properties of Legendrian Singularities
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 357-363

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1991-057-9
Mots-clés : 58C27 
Izumiya, Shyüichi. Topological Properties of Legendrian Singularities. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 357-363. doi: 10.4153/CMB-1991-057-9
@article{10_4153_CMB_1991_057_9,
     author = {Izumiya, Shy\"uichi},
     title = {Topological {Properties} of {Legendrian} {Singularities}},
     journal = {Canadian mathematical bulletin},
     pages = {357--363},
     year = {1991},
     volume = {34},
     number = {3},
     doi = {10.4153/CMB-1991-057-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-057-9/}
}
TY  - JOUR
AU  - Izumiya, Shyüichi
TI  - Topological Properties of Legendrian Singularities
JO  - Canadian mathematical bulletin
PY  - 1991
SP  - 357
EP  - 363
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-057-9/
DO  - 10.4153/CMB-1991-057-9
ID  - 10_4153_CMB_1991_057_9
ER  - 
%0 Journal Article
%A Izumiya, Shyüichi
%T Topological Properties of Legendrian Singularities
%J Canadian mathematical bulletin
%D 1991
%P 357-363
%V 34
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-057-9/
%R 10.4153/CMB-1991-057-9
%F 10_4153_CMB_1991_057_9

[1] 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] 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] 3. Mather, J. N., How to stratify mappings and jet spaces , in Lecture Notes in mathematics 553, Springer- Verlag, 1976. Google Scholar

[4] 4. Zakalyukin, V. M., Lagrangian and Legendrian singularities, Funct. Anal. Appl. 10 (1976), 23–31. Google Scholar

Cité par Sources :