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On the structure of 5-dimensional Poincaré duality spaces

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Commentarii Mathematici Helvetici

Abstract

We give a complete classification of simply connected 5-dimensional Poincaré duality spaces up to oriented homotopy type. The most important step is a method for describing the Spivak normal fibration and hence the exotic characteristic class.

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Authors and Affiliations

  1. Abteilung für Mathematik, Ruhr-Universität Bochum, D 463, Bochum

    Ralph Stöcker

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  1. Ralph Stöcker
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Stöcker, R. On the structure of 5-dimensional Poincaré duality spaces. Commentarii Mathematici Helvetici 57, 481–510 (1982). https://doi.org/10.1007/BF02565871

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  • DOI: https://doi.org/10.1007/BF02565871

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