Smooth and piecewise-linear structures on products of projective spaces
Izvestiya. Mathematics , Tome 22 (1984) no. 2, pp. 339-355

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Several theorems are proved, showing the nonrealizability of certain elements of Wall groups of elementary $2$-groups by normal maps of closed manifolds. Using these results, the classification of homotopy triangulations of products of projective spaces is obtained. Bibliography: 13 titles.
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     author = {A. F. Kharshiladze},
     title = {Smooth and piecewise-linear structures on products of projective spaces},
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A. F. Kharshiladze. Smooth and piecewise-linear structures on products of projective spaces. Izvestiya. Mathematics , Tome 22 (1984) no. 2, pp. 339-355. http://geodesic.mathdoc.fr/item/IM2_1984_22_2_a8/