Classification des singularités

F. Pham

Recherche Coopérative sur Programme n°25 (1971)

  • Volume: 13, page 1-27

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Pham, F.. "Classification des singularités." Recherche Coopérative sur Programme n°25 13 (1971): 1-27. <http://eudml.org/doc/274093>.

@article{Pham1971,
author = {Pham, F.},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {1-27},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Classification des singularités},
url = {http://eudml.org/doc/274093},
volume = {13},
year = {1971},
}

TY - JOUR
AU - Pham, F.
TI - Classification des singularités
JO - Recherche Coopérative sur Programme n°25
PY - 1971
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 13
SP - 1
EP - 27
LA - fre
UR - http://eudml.org/doc/274093
ER -

References

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  1. [1] R. Thom. Stabilité structurelle et morphogenèse (livre à paraître) Zbl0294.92001
  2. R. Thom. Topological models in Biology. Topology, 8 (1969) 313-335 Zbl0165.23301MR245318
  3. R. Thom. Modèles mathématiques de la morphogenèse, Séminaire I.H.E.S.1970-1971. Zbl0347.58003
  4. [2] J. MatherStability of C ∞ mappings. I. The division theorem. Ann. of Math.87 (1968) 89-104 Zbl0159.24902MR232401
  5. J. MatherStability of C ∞ mappings. II. Infinitesimal stability implies stability. Ann. of Math.89 (1969) 254-291 Zbl0177.26002MR259953
  6. J. MatherStability of C ∞ mappings. III. Finitely determined map-germs. Publ. Math. I.H.E.S.35 (1968) 127-156 Zbl0159.25001MR275459
  7. J. MatherStability of C ∞ mappings. IV. Classification of stable germs by R -algebras. Publ. Math. I.H.E.S.37 (1969) 223-248 Zbl0202.55102MR275460
  8. J. MatherStability of C ∞ mappings. V. Transversality. Advances in Math.4 (1970) 301-336 Zbl0207.54303MR275461
  9. J. MatherStability of C ∞ mappings. VI. The nice dimensions. Proceedings of Liverpool Singularities Symposium I (1971) 207-253 (Lecture Notes in Mathematics192) Zbl0211.56105MR293670
  10. [3] F. PhamRemarque sur l'équisingularité universelle. Prétirage Fac. Sci.Nice (Mathématiques), Décembre 1970 
  11. [4]. R. ThomEnsembles et morphismes stratifiés. Bull. Amer. Math. Soc.75, 1 (1969) 240-284 Zbl0197.20502MR239613
  12. J. MatherNotes on topological stability (Preprint, Harvard University, July 1970). Zbl1260.57049MR2958928
  13. [5]. R. ThomLes singularités des applications différentiables. Ann. Inst. Fourier6 (1955-1956) 43-87 Zbl0075.32104MR87149
  14. [6] J. M. BoardmanSingularities of differentiable maps. Publ. Math. I.H.E.S.33 (1967) 383-419 Zbl0165.56803MR231390
  15. [7] P. SamuelAlgèbre locale. Mémorial des Sc. Math. Fasc.CXXIII (1953) Zbl0053.01901
  16. [8] K. HironakaNormal cones in analytic Whitney stratifications. Publ. Math. I.H.E.S.36 (1969) 127-138 (Volume dédié à O. Zariski). Zbl0219.57022MR277759
  17. [9] J. MilnorSingular points of complex hypersurfaces, Annals of Math. Studies61 (Princeton, 1968) Zbl0184.48405MR239612
  18. [10] Lê Dung Trang Exposés au Séminaire Norguet1970-71. 
  19. En outre, on recommande vivement la lecture de V. ArnoldSingularités des applications différentiables (en Russe) Ousp. Mat. Naouk13, 1(139) (1968) 3-44. 
  20. 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) 

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