Skip to main content
Log in

Failure of the Dehn Lemma on contractible 4-manifolds

  • Published:
Inventiones mathematicae Aims and scope

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. Akbulut, S.: On representing homology classes of 4-manifolds, Inventiones math.49, 193–198 (1978)

    Google Scholar 

  2. Asimov, D.: Round handles and non-singular Morse-Smale flows. Ann. of Math.102, 41–54 (1975)

    Google Scholar 

  3. Casson, A.J.: Ends of 4-manifolds (notes by Cameron Gordon)

  4. Irwin, M.C.: Embeddings of polyhedral manifolds. Ann. of Math.82, 1–14 (1965)

    Google Scholar 

  5. Kato, M.: Embedding spheres and balls in codimension ≦22. Inventiones Math.10, 89–107 (1970)

    Google Scholar 

  6. Kawauchi, A.: Three dimensional homology handles and circles. Osaka J. Math.12, 565–581 (1975)

    Google Scholar 

  7. Kawauchi, A.: On quadratic forms of 3-manifolds. Inventiones Math.43, 177–198 (1977)

    Google Scholar 

  8. Kirby, R.C.: Problems in low dimensional manifold theory. Proc. Symp. Pure Math.32 (1977)

  9. Levine, J.: Polynomial invariants of knots of codimension two. Ann. of Math.84, 537–554 (1966)

    Google Scholar 

  10. MacLane, S., Birkhoff, G.: Algebra. New York: The MacMillan Company 1968

    Google Scholar 

  11. Matsumoto, Y.: Secondary intersectional properties of 4-manifolds and Whitney's trick. Proc. Symp. Pure Math.32, 447–455 (1977)

    Google Scholar 

  12. Milnor, J.W.: Infinite cyclic coverings. In: Conference on the Topology of Manifolds (J.G. Hocking, ed.), pp. 115–133. Boston: Prindle, Weber & Schmidt, 1968

    Google Scholar 

  13. Milnor, J.W.: Isotopy of links. In: Algebraic Geometry and Topology; a symposium in honor of S. Lefschetz (R.H. Fox, D.C. Spencer, A.W. Tucker, eds.), pp. 280–306. Princeton: Princeton Universit Press, 1957

    Google Scholar 

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

    Google Scholar 

  15. Zeeman, E.C.: On the dunce hat. Topology2, 341–358 (1964)

    Article  Google Scholar 

  16. Kawauchi, A.: On a 4-manifold homology equivalent to a bouquet of surfaces, preprint

Download references

Author information

Authors and Affiliations

Authors

Additional information

Both authors are supported by grants from the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matsumoto, Y., Venema, G.A. Failure of the Dehn Lemma on contractible 4-manifolds. Invent Math 51, 205–218 (1979). https://doi.org/10.1007/BF01389914

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389914

Navigation