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Algebraic Topology Homotopy and Group Cohomology pp 282–284Cite as

On the homotopy uniqueness of BU(2) at the prime 2

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1509))

Abstract

The purpose of this note is to prove that a two complete space with the same mod 2 cohomology as B∪(2) is homotopy equivalent to the 2-adic completion of B∪(2).

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, 40506, Lexington, Kentucky, USA

    James E. McClure

  2. Mathematisches Institut, Bunsenstraße 3/5, D 3400, Göttingen, West Germany

    Larry Smith

Authors
  1. James E. McClure
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  2. Larry Smith
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Editor information

Jaume Aguadé Manuel Castellet Frederick Ronald Cohen

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© 1992 Springer-Verlag

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McClure, J.E., Smith, L. (1992). On the homotopy uniqueness of BU(2) at the prime 2. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087517

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  • DOI: https://doi.org/10.1007/BFb0087517

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive

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