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Some results on higher order immersions of manifolds

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Abstract

Letf:M n →N v(n,p)+m be a map. Suppose thatm=n-1 orn<4. We obtain the necessary and sufflcient conditions forf to be homotopic to apth order immersion. Some concretepth order immersion results ofRP n are also proved.

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Authors and Affiliations

  1. Institute of Systems Science, Academia Sinica, Beijing

    Li Gui-song

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  1. Li Gui-song
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Project supported by the National Natural Science Foundation of China

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Gui-song, L. Some results on higher order immersions of manifolds. Acta Mathematica Sinica 8, 113–121 (1992). https://doi.org/10.1007/BF02629932

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  • DOI: https://doi.org/10.1007/BF02629932

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