Skip to main content
SpringerLink
Log in

Generic bifurcations of varieties II

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

In the previous paper [3], we have developed a smooth classification theory of zero point sets of parametrized smooth map germs. In this paper we study a topological classification theory. It is closely related to Y. H. Wan's theory in [5].

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

Similar content being viewed by others

References

  1. Fukuda, T.: Types topologiques des polynomes. Publ. Math. IHES 46, 87–106 (1976)

    Google Scholar 

  2. Gibson, C. G., Wirthmuller, K., du Plessis, A. A. and Looijenga, E. J. N.: Topological stability of smooth Mappings. Lecture Notes in Math. 552, Springer, (1976)

  3. Izumiya, S.: Generic bifurcations of varieties. manuscripta math. 46, 137–164 (1984)

    Google Scholar 

  4. du Plessis A. A.: On the genericity of topologically finitely-determined map-germs. Topology 21, 131–156 (1982)

    Google Scholar 

  5. Wan, Y. H.: Generic deformations of varieties. Trans. A.M.S. 259, 107–119 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Science, Hokkaido University, 060, Sapporo, Japan

    Shyūichi Izumiya

Authors
  1. Shyūichi Izumiya
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Izumiya, S. Generic bifurcations of varieties II. Manuscripta Math 56, 125–134 (1986). https://doi.org/10.1007/BF01172151

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01172151

Keywords

Search

Navigation