Skip to main content
SpringerLink
Log in

Pseudo-homotopy of links of codimension greater that two

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The aim of this work is to develop pseudo-homotopy link theory as far as concordance link theory. We transfer some fundamental constructions of the latter and certain theorems on these constructions to the former. Bibliography: 13 titles.

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

Literature Cited

  1. W. S. Massey and D. Rolfsen, “Homotopy classification of higher dimensional links,”Indiana Univ. Math. J.,34, 375–391 (1985).

    Article  MathSciNet  Google Scholar 

  2. W. S. Massey, “Homotopy classification of 3-component links of codimension greater that 2,”Topology Appl.,34, 269–300 (1990).

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Haefliger, “Enlacements de spheres en codimension supériore á 2,”Comment. Math. Helv.,41, 51–72 (1966).

    MATH  MathSciNet  Google Scholar 

  4. V. M. Nezhinskij, “A suspension sequence in link theory,”Izv. AN SSSR, Ser. Mat.,48, 127–154 (1984).

    MATH  Google Scholar 

  5. J.-P. Serre,Lie Algebras and Lie Groups, Benjamin, New York-Amsterdam, (1965).

    Google Scholar 

  6. V. K. A. M. Gugenheim, “Semisimplicial homotopy theory,” in:Studies in Modern Topology. Studies in Math.,5 (1968), pp. 99–133.

  7. V. M. Nezhinskij, “Some computations in the theory of multidimensional links,”Sib. Mat. Zh.,24, No. 4, 104–115 (1983).

    MATH  Google Scholar 

  8. V. M. Nezhinskij, “Groups of classes of pseudo-homotopic singular links,”Zap. Nauchn. Semin. LOMI,168, 114–124 (1988).

    MATH  Google Scholar 

  9. U. Koschorke, “Homotopy, concordance and bordism of link maps,” Preprint Siegen Universität (1992).

  10. G. P. Scott, “Homotopy links,”Abh. Math. Semin. Univ. Hamburg,32, 186–190 (1968).

    MATH  Google Scholar 

  11. U. Koschorke, “Link maps and the geometry of their invariants,”Manuscr. Math.,61, 383–415 (1988).

    Article  MATH  MathSciNet  Google Scholar 

  12. V. M. Nezhinskij, “A generalization of the Zeeman-Haefliger theorem on links,”Usp. Mat. Nauk,35, No. 5, 235–236 (1980).

    MATH  Google Scholar 

  13. U. Koschorke, “Higher order homotopy invariants for higher dimensional link maps,”Lect. Notes Math.,1172, 116–128 (1984).

    MathSciNet  Google Scholar 

Download references

Authors
  1. V. M. Nezhinskij
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the Deutsche Forschungsgemeinschft.

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 208, 1993, pp. 136–151.

Translated by V. M. Nezhinskij.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nezhinskij, V.M. Pseudo-homotopy of links of codimension greater that two. J Math Sci 81, 2538–2548 (1996). https://doi.org/10.1007/BF02362424

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02362424

Keywords

Search

Navigation