Geodesic
On an invariant of open manifolds
Izvestiya. Mathematics, Tome 1 (1967) no. 5, pp. 1041-1054 Cet article a éte moissonné depuis la source Math-Net.Ru

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The combinatorial invariance of the obstruction $\Delta$ is proved and a Poincaré duality relation is derived for $\Delta$. It is shown that the invariant $\Delta$ is a meaningful concept, i.e., that there exist open manifolds for which $\Delta\ne0$. The results that are obtained are used for the construction of a boundary for an open manifold and for the fibering of a closed smooth manifold over a circle. 
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     author = {V. L. Golo},
     title = {On an invariant of open manifolds},
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V. L. Golo. On an invariant of open manifolds. Izvestiya. Mathematics, Tome 1 (1967) no. 5, pp. 1041-1054. http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a6/

[1] Novikov S. P., “O mnogoobraziyakh so svobodnoi abelevoi fundamentalnoi gruppoi”, Izv. AN SSSR. Ser. matem., 30 (1966), 207–246 | MR | Zbl

[2] Borevich Z. Ya., Shafarevich I. R., Algebraicheskie chisla, M., 1964

[3] Browder W., “Structures on $M\times R$”, Proc. Camb. Phil. Soc., 1:2 (1965), 337–345 | DOI | MR

[4] Browder W., Levine J., Fibring a manifold over a circle, preprint, Princeton University, Princeton, 1965 | Zbl

[5] Browder W., Levine J., Livesay G., Finding a boundary of an open manifold, preprint, Princeton University, Princeton, 1965 | MR | Zbl

[6] Kervair M., “The imbeddings of manifolds”, Comment. math. helv., 39:4 (1965), 271–280 | MR | Zbl

[7] Milnor J., Whitehead torsion, Princeton, 1964

[8] G. de Rham, Seminaire, Paris, 1964

[9] Rim D., “Modules over finite groups”, Ann. Math., 69:3 (1959), 700–712 | DOI | MR | Zbl

[10] Sibenman L. C., “Abstracts and Notes”, Amer. Math. Soc., 12:3 (1965), 337

[11] Smale S., “On the structure of manifolds”, Amer. J. Math., 84 (1962), 387–399 | DOI | MR | Zbl

[12] Swann R. G., “Induced representations and projective modules”, Ann. Math., 71:3 (1960), 552–578 | DOI | MR

[13] Weber H., “Theorie der Abelschen Zahlkörper”, Acta Math., 8 (1886), 193–263 | DOI | MR