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Cohomological Methods in Homotopy Theory pp 35–45Cite as

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Unstable splittings related to Brown-Peterson cohomology

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Part of the book series: Progress in Mathematics ((PM,volume 196))

Abstract

We give a new and relatively easy proof of the splitting theorem of the second author for the spaces in the Omega spectrum for BP. We then give the first published proofs of our similar theorems for the spectra P(n).

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References

  1. J. M. Boardman, D. C. Johnson, and W. S. Wilson. Unstable operations in generalized cohomology. In I. M. James, editor, The Handbook of Algebraic Topology,chapter 15, pages 687–828. Elsevier, 1995.

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Author information

Authors and Affiliations

  1. Johns Hopkins University, Baltimore, Maryland, 21218, USA

    J. Michael Boardman & W. Stephen Wilson

Authors
  1. J. Michael Boardman
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  2. W. Stephen Wilson
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Editor information

Editors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Jaume Aguadé , Carles Broto  & Carles Casacuberta ,  & 

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© 2001 Springer Basel AG

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Boardman, J.M., Wilson, W.S. (2001). Unstable splittings related to Brown-Peterson cohomology. In: Aguadé, J., Broto, C., Casacuberta, C. (eds) Cohomological Methods in Homotopy Theory. Progress in Mathematics, vol 196. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8312-2_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8312-2_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9513-2

  • Online ISBN: 978-3-0348-8312-2

  • eBook Packages: Springer Book Archive

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