Skip to main content
SpringerLink
Log in

Some Remarks on Geometric Simple Connectivity

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

Abstract

This paper treats the question of geometric simple connectivity of open manifolds of dimension greater than five.

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

References

  1. A. Casson, Private communication.

  2. J. Cerf, Sur les difféomorphismes de la sphére de dimension trois (г4 = 0), Springer L.N. 53 (1968).

  3. D. Gabai, Valentin Poénaru's program for the Poincaré Conjecture, in Geometry Topology and Physics for Raoul Bott (S. Y. Yau, editor) International Press (1994), pp. 139-166.

  4. M. Gerstenhaber and O. Rothaus, The solution of sets of equations in groups, Proc. Nat. Acad. Sci. USA, 48 (1962), 1531-1533.

    Google Scholar 

  5. R. Kirby, Topology of 4-Manifolds, Springer L.N. 1374 (1980).

  6. B. Mazur, A note on some contractible 4-manifolds, Ann. of Math., 73 (1961), 221-228.

    Google Scholar 

  7. B. Mazur, On embeddings of spheres, BAMS, 65 (1959), 59-65.

    Google Scholar 

  8. V. Poénaru, Le théorème de non-sauvagerie lisse, Processus infinis et Conjecture de Poincaré en dimension trois, IV, part A. Prépublication d'Orsay 92-83 (1992); part B, Prépublication d'Orsay 95-33 (1995).

  9. V. Poénaru, Les décomposition de l'hypercube en produit topologique, Bull. Soc. Math. France, 88 (1960), 113-129.

    Google Scholar 

  10. V. Poénaru, Killing handles of index one stably, and π ∞1 , Duke Math. J., 63 (1991), 431-447.

    Google Scholar 

  11. V. Poénaru, The strange compactification theorem, Infinite processes and the 3-dimensional Poincaré Conjecture, IV, part A, preprint IHES/M/95/15 (1995); part B, preprint IHES/M/96/43 (1996), preprint IHES/M/95/15 (1995); part B, preprint IHES/M/97/43 (1997).

  12. F. Quinn, Lectures on axiomatic topological quantum field theory, in Geometry and Quantum Field Theory, edited by Freed-Uhlenbeck. IAS/Park City (1991), pp. 323-450.

  13. S. Smale, On the structure of manifolds, Amer. J. of Math., 84 (1962), 387-399.

    Google Scholar 

  14. J. Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Phil. Soc., 58 (1962), 481-488.

    Google Scholar 

  15. E. C. Zeeman, On the dunce hat, Topology, 2 (1964), 341-358.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Paris-Sud Mathématiques Bâtiment 425, Orsay, 91405 Cedex, France

    V. Poénaru

  2. Dipartimento di Matematica via Archirafi 34, 90123, Palermo, Italy

    C. Tanasi

Authors
  1. V. Poénaru
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Tanasi
    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

Poénaru, V., Tanasi, C. Some Remarks on Geometric Simple Connectivity. Acta Mathematica Hungarica 81, 1–12 (1998). https://doi.org/10.1023/A:1006537808053

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1006537808053

Keywords

Search

Navigation