A counterexample to a conjecture of Whitehead and Volodin-Kuznetsov-Fomenko

Mitsuyuki OCHIAI

doi:10.2969/jmsj/03140687

Mitsuyuki OCHIAI

Author information

JOURNAL FREE ACCESS

1979 Volume 31 Issue 4 Pages 687-691

DOI https://doi.org/10.2969/jmsj/03140687

Details

Published: 1979 Received: February 13, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. S. Birman and H. M. Hilden, Heegaard splittings of branched coverings of S³, Trans. Amer. Math. Soc., 213 (1975), 315-352.
2) J. S. Birman, Heegaard splittings, Diagrams and Sewings for Closed, Orientable 3-manifolds, Lecture notes for CBMS conference at Oct. 8-12, 1977.
3) T. Homma, M. Ochiai and M. Takahashi, An algorithm for recognizing S³ in 3-manifolds with Heegaard splittings of genus two, to appear.
4) M. Takahashi, A alternative proof of Birman-Hilden-Viro's theorem, to appear in Tsukuba Math. J.
5) I. A. Volodin, V. E. Kuznetsov and A. T. Fomenko, The Problem of Discriminating algorithmically the Standard Three-Dimensional Sphere, Russian Math. Surveys, 29: 5 (1974) 71-172.
6) J. H. C. Whitehead, On certain sets of elements in a free group, London Math. Soc., (2) 41 (1936), 48-56.

Right : [1] J. S. Birman and H. M. Hilden, Heegaard splittings of branched coverings of S³, Trans. Amer. Math. Soc., 213 (1975), 315-352.
[2] J. S. Birman, Heegaard splittings, Diagrams and Sewings for Closed, Orientable 3-manifolds, Lecture notes for CBMS conference at Oct. 8-12, 1977.
[3] T. Homma, M. Ochiai and M. Takahashi, An algorithm for recognizing S³ in 3-manifolds with Heegaard splittings of genus two, to appear.
[4] M. Takahashi, A alternative proof of Birman-Hilden-Viro's theorem, to appear in Tsukuba Math. J.
[5] I. A. Volodin, V. E. Kuznetsov and A. T. Fomenko, The Problem of Discriminating algorithmically the Standard Three-Dimensional Sphere, Russian Math. Surveys, 29: 5 (1974) 71-172.
[6] J. H. C. Whitehead, On certain sets of elements in a free group, London Math. Soc., (2) 41 (1936), 48-56.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!