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On the 1-handles of the product \(V^3 \times B^n\) for a simply connected open 3-manifold \(V^3\). (English) Zbl 1270.57007
Summary: Although \(\pi_1^\infty V^3\) is an obstruction for killing stably the 1-handles of an open simply connected 3-manifold \(V^{3}\), one can always get rid of the 1-handles of \(V^{3}\times B^{n}\), for high enough \(n\), at the price of a certain nonmetrizable slackening of the topology.
MSC:
57M07 Topological methods in group theory
57M60 Group actions on manifolds and cell complexes in low dimensions
57N65 Algebraic topology of manifolds
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