Skip to main content
SpringerLink
Log in

Topological sufficiency of smooth map-germs

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bochnak, J., Lojasiewicz, S.: A converse of the Kuiper-Kuo Theorem. Lecture Notes Vol. 192, pp. 254–261. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  2. Damon, J.: Finite determinacy and topological triviality I. Invent. math.62, 299–324 (1980)

    Google Scholar 

  3. Fukuda, M., Fukuda, T.: AlgebrasQ(f) determine the topological types of generic map-germs. Invent. math.51, 231–237 (1979)

    Google Scholar 

  4. Gibson, C.G., Wirthmüller, K., du Plessis, A.A., Looijenga, E.J.N.: Topological stability of smooth mappings. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  5. Kuo, T.-Z.: OnC 0-sufficiency of jets of potential functions. Topology8, 167–171 (1969)

    Article  Google Scholar 

  6. Lê Dũng Tráng, Ramanujan, C.P.: The invariance of Milnor's number implies topological triviality. Amer. J. Math.98, 67–78 (1976)

    Google Scholar 

  7. Mather, J.: Stability ofC ∞-mappings. III. Finitely determined map-germs. Publ. Math. I.H.E.S.35, 127–156 (1968); IV. Classification of stable germs byR-algebras. Publ. Math. I.H.E.S.37, 223–248 (1969)

    Google Scholar 

  8. Mather, J.: Stratifications and mappings. In: Dynamical Systems (Salvador, Brazil), (M. Peixoto, ed.) pp. 195–252. New York-London: Academic Press 1973

    Google Scholar 

  9. Varčenko, A.N.: Local topological properties of differentiable mappings. Izv. Akad. Nauk. SSSR38, 1037–1090 (1974); Math. USSR Izv.8, 1033–1082 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    John D. Randall

Authors
  1. John D. Randall
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by a grant from the Advisory Research Council of Queen's University, Kingston, Ontario, and by a grant from the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Randall, J.D. Topological sufficiency of smooth map-germs. Invent Math 67, 117–121 (1982). https://doi.org/10.1007/BF01393375

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393375

Search

Navigation