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On the structure of 5-dimensional Poincaré duality spaces

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Publication:1837432
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DOI10.1007/BF02565871zbMath0507.57012MaRDI QIDQ1837432

Ralph Stoecker

Publication date: 1982

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139918

zbMATH Keywords

second Stiefel-Whitney classSpivak normal fibrationfirst exotic classhomotopy type of a closed smooth manifoldsimply connected 5-dimensional Poincare duality spaces


Mathematics Subject Classification ID

Classification of homotopy type (55P15) Characteristic classes and numbers in differential topology (57R20) Surgery and handlebodies (57R65) Embeddings in differential topology (57R40) Poincaré duality spaces (57P10)


Related Items

On the group of homotopy equivalences of simply connected five manifolds, The group of self-homotopy equivalences of \(S^ 2\)-bundles over \(S^ 4\). II: applications, The Homotopy Type of a Poincaré Duality Complex After Looping, Homotopy decompositions of the classifying spaces of pointed gauge groups, Realizing characteristic classes by manifolds, Quadratic functors and metastable homotopy



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