Skip to main content
Log in

Smooth spheres in ℝ4 with four critical points are standard

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  • [Ho] Hosokawa, F.: On trivial 2-spheres in 4-space. Quart. J. Math. Oxford Ser.19, 249–256 (1968)

    Google Scholar 

  • [KL] Kearton, C., Lickorish, W.B.R.: Piecewise linear critical levels and collapsing. Trans. Amer. Math. Soc.170, 415–424 (1972)

    Google Scholar 

  • [Ki] Kirby, R.: Problems in low-dimensional manifold theory. Proc. Symp. Pure Math.32, 273–312 (1978)

    Google Scholar 

  • [Ku] Kuiper, N.: Tight embeddings and maps. In: The Chern Symposium, pp. 97–145. Berlin-Heidelberg-New York: Springer 1980

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by a National Science Foundation grant

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scharlemann, M. Smooth spheres in ℝ4 with four critical points are standard. Invent Math 79, 125–141 (1985). https://doi.org/10.1007/BF01388659

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388659

Keywords

Navigation