Geodesic
Transformations of special spines and the Zeeman conjecture
Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 423-434

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Two transformations, called elementary, are defined for special spines, and it is shown that any one special spine of aЁ3-manifold can be obtained from any other by a sequence of elementary transformations and their inverses. Applications are made to the Zeeman conjecture on 1-collapsibility of 2-dimensional contractible polyhedra. Figures: 7. Bibliography: 6 titles. 
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     author = {S. V. Matveev},
     title = {Transformations of special spines and the {Zeeman} conjecture},
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S. V. Matveev. Transformations of special spines and the Zeeman conjecture. Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 423-434. http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a8/