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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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