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Normal numbers of piecewise-linear manifolds

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Abstract

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.

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Authors and Affiliations

  1. A. A. Zhdanov Leningrad State University, USSR

    B. D. Malyi

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  1. B. D. Malyi
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Translated from Matematicheskie Zametki, Vol. 9, No. 5, pp. 575–583, May, 1971.

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Malyi, B.D. Normal numbers of piecewise-linear manifolds. Mathematical Notes of the Academy of Sciences of the USSR 9, 333–337 (1971). https://doi.org/10.1007/BF01094362

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  • DOI: https://doi.org/10.1007/BF01094362

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