On minimal Poincaré $4$-complexes

DOI10.3906/mat-1211-54zbMath1294.57016arXiv1403.3631OpenAlexW1541262838MaRDI QIDQ5417890

Friedrich Hegenbarth, Alberto Cavicchioli, Dušan D. Repovš

Publication date: 23 May 2014

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3631

zbMATH Keywords

homotopy type\(k\)-invariantobstruction theoryminimalhomology with local coefficientsPoincaré complexWhitehead's exact sequenceequivariant intersection formdegree 1-mapWhitehead's quadratic functor

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Poincaré duality spaces (57P10)

Related Items (4)

Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes ⋮ On four-dimensional Poincaré duality cobordism groups ⋮ Four-dimensional complexes with fundamental class ⋮ Homotopy classification of \(PD_4\)-complexes relative an order relation

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