Equisingularité et conditions de Whitney

Trotman, David

Directeur de thèse : Thom, René ; Teissier, Bernard

Membres du jury : Thom, René ; Cerf, Jean ; Laudenbach, François ; Meyer, Yves ; Pham, Frédéric ; Poénaru, Valentin ; Sullivan, Dennis

Thèses d'Orsay, no. 97 (1980) , 154 p.

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     author = {Trotman, David},
     title = {Equisingularit\'e et conditions de {Whitney}},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e Paris-Sud Centre d'Orsay},
     number = {97},
     year = {1980},
     language = {fr},
     url = {http://archive.numdam.org/item/BJHTUP11_1980__0097__P0_0/}
}

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Trotman, David. Equisingularité et conditions de Whitney. Thèses d'Orsay, no. 97 (1980), 154 p. http://numdam.org/item/BJHTUP11_1980__0097__P0_0/

Bibliographie
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25. D. J. A. Trotman, Geometric versions of Whitney regularity, Math. Proc. Camb. Phil. Soc. 80, p. 99-101, 1976. | Zbl | MR

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12. Hironaka, H. Subanalytic sets, in Number Theory, Algebraic Geometry and Commutative Algebra, volume in honour of Y. Akizuki, Kinokuniya, Tokyo, p. 453-493, 1973. | Zbl

13. Hirsch, M. Differential topology, Springer-Verlag, New York, 1976. | MR | Zbl | DOI

14. Kuo, T.-C. The ratio test for analytic Whitney stratifications, Liverpool singularities symposium I, Springer Lecture Notes 192, Berlin, p. 141-149, 1971. | MR | Zbl | DOI

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17. Lê Dũng Tràng & Ramanujam, C. P. The invariance of Milnor's number implies the invariance of topological type, Amer. J. Math. 98, p. 67-78, 1976. | MR | Zbl | DOI

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21. Mather, J. Notes on topological stability, Harvard University, 1970. | Zbl

22. Mather, J. Stratifications and mappings, in Dynamical Systems (ed. M. M. Peixoto), Academic Press, p. 195-223, 1971. | MR | Zbl

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35. Thom, R. Propriétés différentielles locales des ensembles analytiques, Séminaire Bourbaki no. 281, 1964-65. | Zbl | Numdam

36. Thom, R. Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75, p. 240-284, 1969. | Zbl | MR | DOI

37. Trotman, D. J. A. A transversality property weaker than Whitney (a)- regularity, Bull. London Math. Soc., 8, p. 225-228, 1976. | Zbl | MR | DOI

38. Trotman, D. J. A. Geometric versions of Whitney regularity, Math. Proc.Camb. Phil. Soc. 80, p. 99-101, 1976. | MR | Zbl | DOI

39. Trotman, D. J. A. Counterexamples in stratification theory : two discordant horns, in Singularities of real and complex mappings, Proc. Nordic Summer School in Math., Oslo 1976, to appear, 1977. | MR | Zbl

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3. T.-C. Kuo, The ratio test for analytic Whitney stratifications, Liverpool Singularities Symposium I (Lecture Notes in Mathematics 192), pp. 141-149, Springer-Verlag, Berlin - Heidelberg. New York, 1971. | Zbl | MR | DOI

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6. D.J.A. Trotman, Counterexamples in stratification theory : two discordant horns, in Real and complex singularities, Proceedings of the Nordic Summer School/Symposium, Oslo 1976 (ed. P. Holm), pp. 679-686, Sijthoff and Noordhoff, Groningen, 1977. | MR | Zbl

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8. J.-L. Verdier, Stratifications de Whitney et Théorème de Bertini-Sard, Invent. Math. 36 (1976), 295-312. | Zbl | MR | DOI

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