Skip to main content
SpringerLink
Log in

Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Literatur

  1. Alexander, J. W.: On the subdivision of polyhedra in 3-space. Proc. Nat. Acad. Sci.10, 6–8 (1924).

    Google Scholar 

  2. Alexandroff, P., u.H. Hopf: Topologie. Berlin 1935.

  3. Bing, R. H.: An alternative proof that 3-manifolds can be triangulated. Ann. Math.69, 37–65 (1959).

    Google Scholar 

  4. Fox, R. H.: On the imbedding of polyhedra in 3-space. Ann. Math.49, 462–470 (1948).

    Google Scholar 

  5. Haken, W.: Theorie der Normalflächen. Ein Isotopiekriterium für den Kreisknoten. Acta math.105, 245–375 (1961).

    Google Scholar 

  6. Kneser, H.: Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten. Jber. dtsch. Mathematikervereinig.38, 248–260 (1929).

    Google Scholar 

  7. Milnor, J. W.: A unique decomposition theorem for 3-manifolds. Im Druck.

  8. Moise, E. E.: Affine structures in 3-manifolds. V. Ann. Math.56, 96–114 (1952).

    Google Scholar 

  9. —: Affine Structures in 3-manifolds. VIII. Ann. Math.59, 159–170 (1954).

    Google Scholar 

  10. Papakyriakopoulos, C. D.: On Dehn's lemma and the asphericity of knots. Ann. Math.66, 1–26 (1957).

    Google Scholar 

  11. —: Some problems on 3-dimensional manifolds. Bull. Amer. Math. Soc.64, 317–335 (1958).

    Google Scholar 

  12. Reidemeister, K.: Topologie der Polyeder und kombinatorische Topologie der Komplexe. Leipzig 1953.

  13. Seifert, H., u.W. Threlfall: Lehrbuch der Topologie, Leipzig 1934.

  14. Whitehead, J. H. C.: On 2-spheres in 3-manifolds. Bull. Amer. Math. Soc.64, 161–166 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Winthirplatz 5, München

    Wolfgang Haken

Authors
  1. Wolfgang Haken
    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

Haken, W. Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3-Mannigfaltigkeiten. Math Z 76, 427–467 (1961). https://doi.org/10.1007/BF01210988

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01210988

Search

Navigation