Literature Cited
S. V. Matveev, “Special skeletons of piecewise-linear manifolds,” Mat. Sb.,92, No. 2, 282–293 (1973).
B. G. Casler, “An embedding theorem for connected 3-manifolds with boundary,” Proc. Am. Math. Soc.,16, 559–566 (1965).
D. Gillman and D. Rolfsen, “The Zeeman conjecture for standard spines is equivalent to the Poincare conjecture,” Topology,22, No. 3, 315–323 (1983).
S. V. Matveev, “Transformations of special spines,” Deposited at VINITI, July 8, 1985, No. 4907-85.
J. J. Andrews and M. L. Curtis, “Free groups and handlebodies,” Proc. Am. Math. Soc.,16, No. 2, 192–195 (1965).
R. Kreher and W. Metzler, “Simpliziale Transformationen von Polyedern und die Zeeman-Vermutung,” Topology,22, No. 1, 19–26 (1983).
I. A. Volodin, V. E. Kuznetsov, and A. T. Fomenko, “On the problem of discriminating algorithmically the standard three-dimensional sphere,” Usp. Mat. Nauk,29, No. 5, 71–168 (1974).
J. W. Milnor, “Whitehead torsion,” Bull. Am. Math. Soc.,72, 358–426 (1966).
H. Zieschang, “Uber einfache Kurven auf Vollbrezeln,” Abh. Math. Sem. Univ. Hamburg,2, No. 3–4, 231–250 (1965).
Additional information
Chelyabinsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 66–80, November–December, 1987.
Rights and permissions
About this article
Cite this article
Matveev, S.V. Zeeman's conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture. Sib Math J 28, 917–928 (1987). https://doi.org/10.1007/BF00969470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969470