Skip to main content
Log in

Non-orientable surfaces in 3-manifolds

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. F.Apéry, Models of the Projective Plane. Braunschweig 1987.

  2. G. E. Bredon andJ. W. Wood, Non orientable surfaces in orientable 3-Manifolds. Invent. Math.7, 83–110 (1969).

    Google Scholar 

  3. G.Burde and H.Zieschang, Knots. Berlin 1985.

  4. M. M.Cohen, A Course in Simple Homotopy Theory. Graduate Texts in Math. Berlin-Heidelberg-New York 1973.

  5. W.End, Homotopy Types of 2-Manifolds. To appear.

  6. D. B. A. Epstein, Curves on 2-Manifolds and Isotopies. Acta Math.115, 83–107 (1966).

    Google Scholar 

  7. J. Hass andJ. Hughes, Immersions of surfaces in 3-manifolds. Topology24, 97–112 (1985).

    Google Scholar 

  8. J.Hempel, 3-Manifolds. Ann. of Math. Stud.86, Princeton 1976.

  9. M.Hirsch, Differential Topology. Berlin-Heidelberg-New York 1976.

  10. W. Jaco, Surfaces embedded inM 2×S 1. Canad. J. Math.22, 335–346 (1970).

    Google Scholar 

  11. J. W.Milnor and D.Husemoller, Symmetric Bilinear Forms. Berlin-Heidelberg-New York 1973.

  12. J. W.Milnor and J.Stasheff, Characteristic classes. Ann. of Math. Stud.76, Princeton 1974.

  13. D.Rolfsen, Knots and Links. Berkley 1976.

  14. H.Seifert and W.Threlfall, Topologie. New York 1934.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dieter Puppe zum 60. Geburtstag gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

End, W. Non-orientable surfaces in 3-manifolds. Arch. Math 59, 173–185 (1992). https://doi.org/10.1007/BF01190680

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01190680

Navigation