Poénaru, Valentin; Tanasi, Corrado 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 Topology Appl. 160, No. 5, 748-765 (2013). 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 Keywords:Dehn exhaustibility; geometrically simply connection; quasi-simply filtered; \(O(i)\) movements Software:HPCVIEW PDF BibTeX XML Cite \textit{V. Poénaru} and \textit{C. Tanasi}, Topology Appl. 160, No. 5, 748--765 (2013; Zbl 1270.57007) Full Text: DOI