Skip to main content
SpringerLink
Log in

C-Régularité et trivialité topologique

  • Conference paper
  • First Online:
Singularity Theory and its Applications

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  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.

    Article  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.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Author notes

  1. K. Bekka

    Present address: Department of Pure Mathematics, University of Liverpool, P.O. Box 147, L69 3BX, Liverpool

Authors and Affiliations

  1. Département de Mathématiques, Université Paris-Sud., France

    K. Bekka

Authors
  1. K. Bekka
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

David Mond James Montaldi

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53737-3

  • Online ISBN: 978-3-540-47060-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation