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Stability of transversality to a stratification implies Whitney (a)-regularity

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References

  1. Bass, D.W.: Topological classification of endomorphisms of line bundles. Warwick University preprint, 1975

  2. Chenciner, A.: Hanoi notes, 1975

  3. Feldman, E.A.: The geometry of immersions, I. Trans. Amer. Math. Soc.120, p. 185–224, 1965

    Google Scholar 

  4. Golubitsky, M., Guillemin, V.: Stable mappings and their singularities. Springer-Verlag, New York. 1974

    Google Scholar 

  5. Hirsch, M.: Differential Topology. Springer-Verlag, New York. 1976

    Google Scholar 

  6. Morlet, C.: Le lemme de Thom et les théorèmes de plongement de Whitney I: les topologies des espaces d'applications. Séminaire Henri Cartan (Topologie différentielle), 4, 1961–62

  7. Thom, R.: Local topological properties of differentiable mappings. In: Differential analysis. Oxford University Press. London, p. 191–202, 1964

    Google Scholar 

  8. Thom, R.: Propriétés différentielles locales des ensembles analytiques. Séminaire Bourbaki no. 281, 1964–65

  9. Thom, R.: Ensembles et morphismes stratifiés. Bull. Amer. Math. Soc. 75, p. 240–289, 1969

    Google Scholar 

  10. Trotman, D.J.A.: A transversality property weaker than Whitney (a)-regularity. Bull. London Math. Soc. 8, p. 225–228, 1976

    Google Scholar 

  11. Trotman, D.J.A.: Counterexamples in stratification theory: two discordant horns, Real and complex singularities, Oslo 1976, edited by P. Holm. Sijthoff & Noordhoff. Groningen, p. 679–686, 1977

    Google Scholar 

  12. Trotman, D.J.A., Kambouchner, A.: Whitney (a)-faults which are hard to detect. To appear

  13. Wall, C.T.C.: Stratified sets: a survey, Liverpool Singularities Symposium I. Springer Lecture Notes 192. Berlin, p. 133–140, 1971

  14. Wall, C.T.C.: Geometric properties of generic differentiable manifolds. Geometry and Topology, Rio de Janeiro, July 1976, Springer Lecture Notes 597. Berlin, p. 707–774, 1977

  15. Whitney, H.: Local properties of analytic varieties. Diff. and comb. topology (ed. S. Cairns). Princeton, p. 205–244, 1965

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Partially supported by a French Government Scholarship

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Trotman, D.J.A. Stability of transversality to a stratification implies Whitney (a)-regularity. Invent Math 50, 273–277 (1978). https://doi.org/10.1007/BF01410081

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