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Minimal Morse functions on a pair of manifolds

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Abstract

The existence theorem for a minimal Morse function on a pair of manifolds (M n,N k), wheren-k ≥ 3,k ≥ 6, is proved.

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References

  1. C. Kearton and W. B. Lickorish, “Piecewise linear critical levels and collapsing,”Trans. Amer. Math. Soc,170 415–424 (1972).

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  2. C. Rourk and B. Sundeisen,Introduction to Piecewise Linear Topology [Russian translation], Mir, Moscow (1974).

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  3. C. P. Rourke,Embedded Handle Theory, Concordons and Isotopy, Preprint, University of Warwick, (1968).

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Authors and Affiliations

  1. Kiev University, Kiev

    A. O. Prishlyak

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  1. A. O. Prishlyak
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Additional information

Translated from Ukrainskii Matematiccheskii Zhurnal, Vol. 45, No. 1, pp. 143–144, January, 1993.

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Prishlyak, A.O. Minimal Morse functions on a pair of manifolds. Ukr Math J 45, 160–161 (1993). https://doi.org/10.1007/BF01062051

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  • DOI: https://doi.org/10.1007/BF01062051

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