The tunnel number of the sum of n knots is at least n

Topology

Volumn 38, Issue 2, 1999, Pages 265-270

  Scharlemann, Martin ^a,b   Schultens, Jennifer ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033095458     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(98)00002-0     Document Type: Article

References (9)

1. Burde, G., Zieschang, H., Knots, Studies in Mathematics, Vol. 5. de Gruyter, Berlin, 1985.
2. Hempel, J., Annals of Mathematial Studies, 1976, 86.
3. Jaco, W., Lectures on three-manifold topology, Regional Conference Series in Mathematics, Vol. 43. Amer. Math. Soc., Providence, RI, 1981.
4. Kirby, R., Problem's in low-dimensional topology. In Geometric Topology - Proceedings of the 1993 Georgia International Topology Conference, ed. W. H. Kazez, AMS/IP Studies in Advanced Mathematics, International Press, Cambridge, MA, 1997, Vol. 2, Part 2, pp. 35-473.
5. Norwood, F.H., Proceedings of the American Mathematical Society, 1982, 86, 143-147.
6. Rolfsen, D., Knots and Links, Publish or Perish, Houston, Texas.
7. Scharlemann, M. and Thompson, A., AMS Contemporary Mathematics, 1994, 164, 231-238.
8. Scharlemann, Heegaard splittings of compact 3-manifolds. Handbook of Geometric Topology, eds R. Daverman and R. Sherr. Elsevier, Amsterdam (to appear).
9. Schultens, J., Additivity of Tunnel Number. Preprint.