Classification des singularités
Pham, F.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 13 (1971), p. 1-27 / Harvested from Numdam
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Publié le : 1971-01-01
@article{RCP25_1971__13__A3_0,
     author = {Pham, F.},
     title = {Classification des singularit\'es},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {13},
     year = {1971},
     pages = {1-27},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1971__13__A3_0}
}

Pham, F. Classification des singularités. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 13 (1971) pp. 1-27. http://gdmltest.u-ga.fr/item/RCP25_1971__13__A3_0/

[1] R. Thom. Stabilité structurelle et morphogenèse (livre à paraître) | Zbl 0294.92001

R. Thom. Topological models in Biology. Topology, 8 (1969) 313-335 | MR 245318 | Zbl 0165.23301

R. Thom. Modèles mathématiques de la morphogenèse, Séminaire I.H.E.S. 1970-1971. | Zbl 0347.58003

[2] J. Mather Stability of C ∞ mappings. I. The division theorem. Ann. of Math. 87 (1968) 89-104 | MR 232401 | Zbl 0159.24902

J. Mather Stability of C ∞ mappings. II. Infinitesimal stability implies stability. Ann. of Math. 89 (1969) 254-291 | MR 259953 | Zbl 0177.26002

J. Mather Stability of C ∞ mappings. III. Finitely determined map-germs. Publ. Math. I.H.E.S. 35 (1968) 127-156 | Numdam | MR 275459 | Zbl 0159.25001

J. Mather Stability of C ∞ mappings. IV. Classification of stable germs by R-algebras. Publ. Math. I.H.E.S. 37 (1969) 223-248 | Numdam | MR 275460 | Zbl 0202.55102

J. Mather Stability of C ∞ mappings. V. Transversality. Advances in Math. 4 (1970) 301-336 | MR 275461 | Zbl 0207.54303

J. Mather Stability of C ∞ mappings. VI. The nice dimensions. Proceedings of Liverpool Singularities Symposium I (1971) 207-253 (Lecture Notes in Mathematics 192) | MR 293670 | Zbl 0211.56105

[3] F. Pham Remarque sur l'équisingularité universelle. Prétirage Fac. Sci. Nice (Mathématiques), Décembre 1970

[4]. R. Thom Ensembles et morphismes stratifiés. Bull. Amer. Math. Soc. 75, 1 (1969) 240-284 | MR 239613 | Zbl 0197.20502

J. Mather Notes on topological stability (Preprint, Harvard University, July 1970). | MR 2958928 | Zbl 1260.57049

[5]. R. Thom Les singularités des applications différentiables. Ann. Inst. Fourier 6 (1955-1956) 43-87 | Numdam | MR 87149 | Zbl 0075.32104

[6] J. M. Boardman Singularities of differentiable maps. Publ. Math. I.H.E.S. 33 (1967) 383-419 | Numdam | MR 231390 | Zbl 0165.56803

[7] P. Samuel Algèbre locale. Mémorial des Sc. Math. Fasc. CXXIII (1953) | Numdam | MR 54995 | Zbl 0053.01901

[8] K. Hironaka Normal cones in analytic Whitney stratifications. Publ. Math. I.H.E.S. 36 (1969) 127-138 (Volume dédié à O. Zariski). | Numdam | MR 277759 | Zbl 0219.57022

[9] J. Milnor Singular points of complex hypersurfaces, Annals of Math. Studies 61 (Princeton, 1968) | MR 239612 | Zbl 0184.48405

[10] Lê Dung Trang Exposés au Séminaire Norguet 1970-71.

En outre, on recommande vivement la lecture de V. Arnold Singularités des applications différentiables (en Russe) Ousp. Mat. Naouk 13, 1(139) (1968) 3-44.

ainsi que des articles de C.T.C. Wall résumant la théorie de Mather dans les Proceedings of Liverpool Singularities Symposium I (1971) Lecture Notes in Math. 192)