Although \pi_1^\inftyV^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 price of a certain nonmetrizable slackening of the topology.
Poènaru, V., Tanasi, C. (2013). On the 1-handles of the product V3XBn for a simply connected open 3-manifold V3. TOPOLOGY AND ITS APPLICATIONS, Topology and its Applications 160(2013) 748-765(160(2013)), 748-765 [10.1016/j.topol.2013.01.024].
On the 1-handles of the product V3XBn for a simply connected open 3-manifold V3
TANASI, Corrado
2013-01-01
Abstract
Although \pi_1^\inftyV^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 price of a certain nonmetrizable slackening of the topology.
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