Geodesic
Normal numbers of piecewise-linear manifolds
Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 575-583

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A definition is given of the normal class of the immersion of a closed piecewise-linear manifold in a piecewise-linear manifold. It is shown that this number is zero for the immersion of an orientable manifold in euclidean space of any dimension. A complete investigation is carried out of normal classes of piecewise-smooth immersions of nonorientable manifolds in a euclidean space with dimension twice that of the manifolds. 
@article{MZM_1971_9_5_a11,
     author = {B. D. Malyi},
     title = {Normal numbers of piecewise-linear manifolds},
     journal = {Matemati\v{c}eskie zametki},
     pages = {575--583},
     publisher = {mathdoc},
     volume = {9},
     number = {5},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a11/}
}
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B. D. Malyi. Normal numbers of piecewise-linear manifolds. Matematičeskie zametki, Tome 9 (1971) no. 5, pp. 575-583. http://geodesic.mathdoc.fr/item/MZM_1971_9_5_a11/