Killing handles of index one stably, and \(\pi^ \infty_ 1\)

DOI10.1215/S0012-7094-91-06319-2zbMath0738.57009MaRDI QIDQ1179173

Valentin Poénaru

Publication date: 26 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fundamental groups at infinityhandlebody decomposition without handles of index oneopen, simply-connected 3-manifold

Mathematics Subject Classification ID

Surgery and handlebodies (57R65)

Related Items (12)

A note on stabilisations of manifolds ⋮ Topological tameness conditions of spaces and groups: results and developments ⋮ On simplicial resolutions of groups ⋮ On topological filtrations of groups ⋮ Equivariant, locally finite inverse representations with uniformly bounded zipping length, for arbitrary finitely presented groups ⋮ On the proper homotopy invariance of the Tucker property ⋮ On \(3\)-dimensional WGSC inverse-representations of groups ⋮ A group-theoretical finiteness theorem ⋮ Tame combings and easy groups ⋮ On open 3-manifolds proper homotopy equivalent to geometrically simply-connected polyhedra ⋮ Unnamed Item ⋮ On Poénaru’s inverse-representations

Cites Work

• Unnamed Item
• On Dehn's lemma and the asphericity of knots
• The classification of immersions of spheres in Euclidean spaces
• On the equivalence relation forced by the singularities of a nondegenerate simplicial map
• The collapsible pseudo-spine representation theorem
• On \(C^1\)-complexes
• A proof and extension of Dehn’s lemma
• Immersions of Manifolds
• A CERTAIN OPEN MANIFOLD WHOSE GROUP IS UNITY

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