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Aspherical manifolds without smooth or PL structure

Part of the Lecture Notes in Mathematics book series (LNM,volume 1370)

Abstract

One construct closed aspherical PL-manifolds which are not homotopy equivalent to closed smooth manifolds. Examples of closed aspherical T0P-manifolds which are not homeomorphic to closed PL-manifolds are also given.

1980 Mathematics Subject Classification

  • 55D20
  • 57C99
  • 57A99
  • 20E40

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© 1989 Springer-Verlag

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Davis, M.W., Hausmann, JC. (1989). Aspherical manifolds without smooth or PL structure. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085224

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  • DOI: https://doi.org/10.1007/BFb0085224

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

  • eBook Packages: Springer Book Archive