Geodesic
On the behavior at infinity of the fundamental group of a homologically trivial manifold
Izvestiya. Mathematics, Tome 11 (1977) no. 3, pp. 529-550 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author finds necessary and sufficient conditions for a group spectrum $G_1\leftarrow G_2\leftarrow\cdots$ to be isomorphic to a fundamental group spectrum of the end of a homologically trivial manifold. Bibliography: 4 titles. 
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     title = {On the behavior at infinity of the fundamental group of a~homologically trivial manifold},
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A. Z. Dymov. On the behavior at infinity of the fundamental group of a homologically trivial manifold. Izvestiya. Mathematics, Tome 11 (1977) no. 3, pp. 529-550. http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a3/

[1] Hopf H., “Fundamental gruppe und zweit Bettische Gruppe”, Comment. Math. Helv., 14 (1941), 257–309 | DOI | MR

[2] Kervaire M., “Smooth homology spheres and their fundamental groups”, Trans. Amer. Math. Soc., 144 (1969), 67–72 | DOI | MR | Zbl

[3] Kervaire M., Milnor J., “Groups of homotopy spheres”, Ann. Math., 77:3 (1963), 504–537 | DOI | MR | Zbl

[4] Spener E., Algebraicheskaya topologiya, Mir, M., 1971 | MR