Geodesic
Normal fibrations of polyhedra, and duality
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 177-189

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A duality theory is constructed in the category of stable finite fibrations over a finite polyhedron $X$. With the aid of this theory, a result is obtained about the stable characterization of the normal fibration of the polyhedron, in the class of finite reducible fibrations over $X$. As a corollary, the uniqueness theorem is proved for $\Lambda$-Spivak fibrations over $\Lambda$-Poincaré complexes, for an arbitrary commutative ring $\Lambda$. Also, a result is obtained concerning the space of stable self-equivalences of the fiber of the normal fibration of $X$. Bibliography: 10 titles. 
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     author = {V. E. Kolosov},
     title = {Normal fibrations of polyhedra, and duality},
     journal = {Sbornik. Mathematics},
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     year = {1985},
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V. E. Kolosov. Normal fibrations of polyhedra, and duality. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 177-189. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a11/