Applications of controlled surgery in dimension 4: examples

DOI10.2969/jmsj/1179759541zbMath1125.57015arXivmath/0608652OpenAlexW2077973256MaRDI QIDQ861759

Friedrich Hegenbarth, Dušan D. Repovš

Publication date: 30 January 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608652

zbMATH Keywords

surgery theorycontrolled surgerygood fundamental group

Mathematics Subject Classification ID

Related Items (2)

Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes ⋮ Four-dimensional complexes with fundamental class

Cites Work

• Resolutions of homology manifolds, and the topological characterization of manifolds
• The topology of four-dimensional manifolds
• Controlled \(K\)-theory
• A non-extended Hermitian form over \(\mathbb{Z}[\mathbb{Z}\)]
• Subexponential groups in \(4\)-manifold topology
• Connected sums of 4-manifolds
• On Poincaré four-complexes with free fundamental groups
• Complexity of three-dimensional manifolds: problems and results
• 4-manifold topology. I: Subexponential groups
• 4-manifold topology. II: Dwyer's filtration and surgery kernels
• Topology of homology manifolds
• Four-Manifolds With Surface Fundamental Groups
• Induction theorems for groups of homotopy manifold structures
• Surgery on closed 4-manifolds with free fundamental group
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