Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-05-01T04:48:01.529Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-manifolds as branched covers

Published online by Cambridge University Press:  24 October 2008

W. B. R. Lickorish
W. B. R. Lickorish
Affiliation:
Pembroke College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

This note describes a new, and possibly more informative, proof of the fact that any closed orientable 3-manifold is a branched cover over the 3-sphere.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 3 , November 1973 , pp. 449 - 451
Copyright
Copyright © Cambridge Philosophical Society 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Alexander, J. W.Note on Riemann spaces. Bull. Amer. Math. Soc. 26 (1920), 370–372.CrossRefGoogle Scholar
(2)Lickorish, W. B. R.A representation of orientable combinatorial 3-manifolds. Ann. of Math. 76 (1962), 531–540.CrossRefGoogle Scholar
(3)Lickorish, W. B. R.A finite set of generators for the homeotopy group of a 2-manifold. Proc. Cambridge Philos. Soc. 60 (1964), 769–778.CrossRefGoogle Scholar
(4)Lickorish, W. B. R.A foliation for 3-manifolds. Ann. of Math. 82 (1965), 414–420.CrossRefGoogle Scholar