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TOPOLOGICAL 4-MANIFOLDS WITH 4-DIMENSIONAL FUNDAMENTAL GROUP

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Publication:5070185
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DOI10.1017/S0017089521000215zbMath1491.57018arXiv2007.03399MaRDI QIDQ5070185

Daniel Kasprowski, Markus Land

Publication date: 11 April 2022

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

Full work available at URL: https://arxiv.org/abs/2007.03399

zbMATH Keywords

4-dimensional Poincaré complexFarrell-Jones groupFreedman's good group


Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) General topology of 4-manifolds (57K40)




Cites Work

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  • Homotopy invariance of 4-manifold decompositions: connected sums
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  • The topology of four-dimensional manifolds
  • Surgery and duality
  • Subexponential groups in \(4\)-manifold topology
  • 4-manifold topology. I: Subexponential groups
  • Topological rigidity for non-aspherical manifolds
  • \(PD_{4}\)-complexes with strongly minimal models
  • Poincaré complexes. I
  • Wall's surgery obstruction groups for GxZ
  • TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS
  • Stable classification of 4-manifolds with 3-manifold fundamental groups
  • On the homotopy classification of 4-manifolds having the fundamental group of an aspherical 4-manifold
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