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Fonctions de Morse sur les espaces exotiques

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Summary

It is shown that on an exotique space V2n−1 of Kervaire type, we can construct a Morse function having only four critical points, the maximum, the minimum and two points of index n−1 and n.

Bibliographie

  1. [1]

    F. Hirzebruch,Singularites and exotic spheres, Sèminaire Bourbaki (novembre 1966), pp. 314–331.

  2. [2]

    G. Vranceanu,Qualche proprietà differenziale delle sfere exotiche, Rendiconti di Milano, (1968).

  3. [3]

    G. Reeb,Sur certaines propriétés topologiques des variétés feuilletées, Hermann, Parir, 1952, p. 147.

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Entrata in Redazione il 20 ottobre 1972.

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Vranceanu, G. Fonctions de Morse sur les espaces exotiques. Annali di Matematica 98, 33–46 (1974) doi:10.1007/BF02414011

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