This article is cited in 6 papers

On an invariant of open manifolds

V. L. Golo


Abstract: 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.

UDC: 513.83

MSC: 58D05

Received: 14.09.1966

 English version: Mathematics of the USSR-Izvestiya, 1967, 1:5, 1041–1054

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