Geodesic
Extremal problems of geometry, surgery on manifolds, and problems of group theory
Izvestiya. Mathematics, Tome 59 (1995) no. 2, pp. 321-332 
I. K. Babenko. Extremal problems of geometry, surgery on manifolds, and problems of group theory. Izvestiya. Mathematics, Tome 59 (1995) no. 2, pp. 321-332. http://geodesic.mathdoc.fr/item/IM2_1995_59_2_a3/
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     title = {Extremal problems of geometry, surgery on manifolds, and problems of group theory},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The behaviour is studied of asymptotic volumes of smooth manifolds under surgery. It is demonstrated that the asymptotic volume depends on the class of singular bordisms of the Eilenberg–MacLane space for the corresponding group. The relationship between asymptotic volumes and solutions of some extremal problems in Eilenberg–MacLane spaces is considered.

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