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C-Régularité et trivialité topologique

Part of the Lecture Notes in Mathematics book series (LNM,volume 1462)

Keywords

  • Retraction Locale
  • Condition Suivante
  • Bons Tube
  • Plane Quartic Curf
  • Obtient Alors

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Bibliographie

  1. K. Bekka: Sur les propriétés topologiques et métriques des espaces stratifiés. Thèse de doctorat Université Paris-Sud (1988).

    Google Scholar 

  2. J.W. Bruce & P.J. Giblin: A stratification of the space of plane quartic curves. Proc. London Math. Soc. 42 (1981), 270–298.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. J. Briançon & J.P. Speder: La trivialité topologique n'implique pas les conditions de Whitney. C. R. Acad. Sc., Paris, 280 (1975), 365–367.

    MATH  Google Scholar 

  4. J.N. Damon: Topological triviality and versality for subgroups of A and K. Memoirs of the A.M.S. 39 (1988).

    Google Scholar 

  5. C.G. Gibson, K. Wirthmuller, A.A. du Plessis & E.J.N. Looijenga: Topological stability of smooth mappings. Lectures notes in Math. 552, Springer Verlag (1976).

    Google Scholar 

  6. H.A. Hamm & D.T. Lê: Un théorème de Zariski du type de Lefschetz. Ann. Sci. Ec. Norm. Sup. 4 e serie 6 (1973), 317–366.

    MATH  Google Scholar 

  7. R. Hardt: Stratification of real analytic mappings and images. Invent. Math. 28 (1975) 193–208.

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. H. Hironaka: Stratification and flatness. Real and complex singularities. Nordic summer school (Oslo 1976) Sijthoff-Noordhoff, Groningen (1977).

    Google Scholar 

  9. M.W. Hirsch & B. Mazur: Smoothings of piecewise linear manifolds. Annals of Mathematics Studies, 80. Princeton University (1974).

    Google Scholar 

  10. S. Koike: On condition (a f ) of stratified mappings Ann. Inst. Fourier 33 (1983), 177–184.

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. D.T. Lê & C.P. Ramanujam: The invariance of Milnor's number implies the invariance of topological type. Amer. J. Math. 98 (1976), 67–78.

    CrossRef  MATH  MathSciNet  Google Scholar 

  12. J. Mather: Notes on topological stability. University of Harvard (1970).

    Google Scholar 

  13. W. Pawlucki: Le théorème de Puiseux pour une application sous-analytique. Bull. Pol. Acad. Sci. 32 (1984), 555–560.

    MATH  MathSciNet  Google Scholar 

  14. N. Perkal: On proving the geometric version of Whitney regularity. J. London Math. Soc. 29 (1984), 343–351.

    CrossRef  MATH  MathSciNet  Google Scholar 

  15. R. Thom: Ensembles et morphismes stratifiés. Bull. A.M.S. 75 (1969), 240–284.

    CrossRef  MATH  MathSciNet  Google Scholar 

  16. D.J.A. Trotman: Comparing regularity conditions on stratifications. Singularities, Arcata 1981, Proc. Sympos. Pure Math. 40, (A.M.S.) (1983), 575–586.

    CrossRef  MathSciNet  Google Scholar 

  17. A. Verona: Stratified mappings — Structures and triangulability. Lecture notes in Math. 1102, Springer Verlag (1983).

    Google Scholar 

  18. H. Whitney: Tangents to an analytic variety. Ann. of Math. 81 (1965), 496–549.

    CrossRef  MATH  MathSciNet  Google Scholar 

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© 1991 Springer-Verlag Berlin Heidelberg

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Bekka, K. (1991). C-Régularité et trivialité topologique. In: Mond, D., Montaldi, J. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1462. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086373

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  • DOI: https://doi.org/10.1007/BFb0086373

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