Chain duality for categories over complexes

DOI10.4171/EMSS/65arXiv2204.01946OpenAlexW4387899987MaRDI QIDQ6190461

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Publication date: 6 February 2024

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01946

zbMATH Keywords

\(L\)-theoryassemblycontrolled surgerychain duality\(K\)-dissectiondual cell decomposition

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Fundamental group, presentations, free differential calculus (57M05) Surgery obstructions, Wall groups (57R67)

Cites Work

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• \(L\)-homology on ball complexes and products
• Chain complexes and assembly
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• Groups of homotopy spheres. I
• The Algebraic Theory of Surgery I. Foundations
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• The total surgery obstruction revisited

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