Geodesic
Exact functions on manifolds
Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 77-83.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the property of a manifold $M^n$ possessing a smooth function with given numbers of critical points of each index is homotopic invariant if $Wh(\pi_1(M^n))=0$ and every $Z(\pi_1(M^n))$-stable free module is free. 
@article{MZM_1970_8_1_a8,
     author = {O. I. Bogoyavlenskii},
     title = {Exact functions on manifolds},
     journal = {Matemati\v{c}eskie zametki},
     pages = {77--83},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a8/}
}
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O. I. Bogoyavlenskii. Exact functions on manifolds. Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 77-83. http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a8/