Duality systems of groups and PD(n)-systems of groups

DOI10.1142/S1793525321500138OpenAlexW3094495023MaRDI QIDQ5058572

Rita Gitik

Publication date: 21 December 2022

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525321500138

zbMATH Keywords

projective resolution\( \text{FP}\) group\(\text{PD}(n)\)-pair of groups\(\text{PD}(n)\)-system of groupscompressible \(n\)-manifoldduality pair of groupsduality system of groupshomology and cohomology of a system of groups

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Cohomology of groups (20J06) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Chain complexes (category-theoretic aspects), dg categories (18G35)

Cites Work

• Relative homology and Poincaré duality for group pairs
• A combination theorem for \(PD(n)\)-pairs
• Groups with homological duality generalizing Poincaré duality
• Poincaré complexes. I
• On groups satisfying Poincaré duality
• Guppen mit Poincaré-Dualität
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