Homotopy classification of \(PD_4\)-complexes relative an order relation

DOI10.1007/s00605-014-0716-1zbMath1401.57032arXiv1501.00551OpenAlexW2461973596MaRDI QIDQ2350674

Mehmetcik Pamuk, Friedrich Hegenbarth, Dušan D. Repovš

Publication date: 25 June 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00551

zbMATH Keywords

order relationminimal \(PD_4\)-complexsymmetric \(L\)-group

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Postnikov systems, (k)-invariants (55S45) Poincaré duality spaces (57P10)

Related Items (3)

Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes ⋮ Four-dimensional complexes with fundamental class ⋮ \(PD_4\)-complexes and 2-dimensional duality groups

Cites Work

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• Poincaré duality complexes in dimension four
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• Connected sums of 4-manifolds
• \(PD_{4}\)-complexes with strongly minimal models
• Poincaré complexes. I
• Moore-Postnikov systems for non-simple fibrations
• A certain exact sequence
• On minimal Poincaré $4$-complexes

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