On the stable classification of certain 4-manifolds

DOI10.1017/S000497270001488XzbMath0863.57014OpenAlexW2086259915MaRDI QIDQ4866744

Friedrich Hegenbarth, Alberto Cavicchioli, Dušan D. Repovš

Publication date: 26 February 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270001488x

zbMATH Keywords

free group4-manifoldsfundamental groups\(s\)-cobordantsimple homotopy equivalent

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic topology of manifolds (57N65) Surgery obstructions, Wall groups (57R67) Cobordism in PL-topology (57Q20)

Related Items (4)

Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes ⋮ Counterexamples in 4-manifold topology ⋮ Four-dimensional complexes with fundamental class ⋮ Embedding 4-manifolds with vanishing second homology

Cites Work

• Unnamed Item
• On the homotopy theory of simply connected four manifolds
• On 4-manifolds homotopy equivalent to surface bundles over surfaces
• Combinatorial homotopy and 4-dimensional complexes
• On the intersection forms of closed 4-manifolds
• On the classification of topological 4-manifolds with finite fundamental group
• Non-simply-conneted surgery and some results in low dimensional topology
• On four dimensional surgery and applications
• Quelques propriétés globales des variétés différentiables
• Four-dimensional topology: an introduction
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• On Simply-Connected 4-Manifolds
• Whitehead torsion

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