On the 1-handles of the product V~3 × B~n for a simply connected open 3-manifold V~3

摘要

Although π~∞_1V~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 × B~n, for high enough n, at the price of a certain nonmetrizable slackening of the topology.