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Zeeman’s conjecture for unthickened special polyhedra is equivalent to the Andrews-Curtis conjecture. (English. Russian original) Zbl 0654.57004
Sib. Math. J. 28, No. 6, 917-928 (1987); translation from Sib. Mat. Zh. 28, No. 6(166), 66-80 (1987).
See the review in Zbl 0638.57002.

MSC:
57M20 Two-dimensional complexes (manifolds) (MSC2010)
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References:
[1] S. V. Matveev, ?Special skeletons of piecewise-linear manifolds,? Mat. Sb.,92, No. 2, 282-293 (1973). · Zbl 0286.57011
[2] B. G. Casler, ?An embedding theorem for connected 3-manifolds with boundary,? Proc. Am. Math. Soc.,16, 559-566 (1965). · Zbl 0129.15801
[3] D. Gillman and D. Rolfsen, ?The Zeeman conjecture for standard spines is equivalent to the Poincare conjecture,? Topology,22, No. 3, 315-323 (1983). · Zbl 0518.57007
[4] S. V. Matveev, ?Transformations of special spines,? Deposited at VINITI, July 8, 1985, No. 4907-85.
[5] J. J. Andrews and M. L. Curtis, ?Free groups and handlebodies,? Proc. Am. Math. Soc.,16, No. 2, 192-195 (1965). · Zbl 0131.38301
[6] R. Kreher and W. Metzler, ?Simpliziale Transformationen von Polyedern und die Zeeman-Vermutung,? Topology,22, No. 1, 19-26 (1983). · Zbl 0521.57014
[7] 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). · Zbl 0311.57001
[8] J. W. Milnor, ?Whitehead torsion,? Bull. Am. Math. Soc.,72, 358-426 (1966). · Zbl 0147.23104
[9] H. Zieschang, ?Uber einfache Kurven auf Vollbrezeln,? Abh. Math. Sem. Univ. Hamburg,2, No. 3-4, 231-250 (1965).
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