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).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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.
J. M. Boardman and W. S. Wilson. k(n)-torsion-free H-spaces and P(n)-cohomology. In preparation.
D. G. Quillen. Elementary proofs of some results of cobordism theory using Steenrod operations. Adv. in Math., 7:29–56, 1971.
D. C. Ravenel and W. S. Wilson. The Hopf ring for complex cobordism. Journal of Pure and Applied Algebra, 9:241–280, 1977.
D. C. Ravenel and W. S. Wilson. The Hopf ring for P(n). Canadian Journal of Mathematics, 48(5):1044–1063, 1996.
D. C. Ravenel, W. S. Wilson, and N. Yagita. Brown-Peterson cohomology from Morava K-theory. K - Theory, 15(2):149–199, 1998.
N. Shimada and N. Yagita. Multiplications in complex bordism theory with singularities. Publications of Research Institute of Mathematical Sciences, Kyoto University,12:259–293, 1976.
W. S. Wilson. The Ω-spectrum for Brown-Peterson cohomology, Part I. Commentarii Mathematici Helvetici, 48:45–5, 1973.
W. S. Wilson. The Ω-spectrum for Brown-Peterson cohomology, Part II. American Journal of Mathematics, 97:101–23, 1975.
W. S. Wilson. The Hopf ring for Morava K-theory. Publications of Research Institute of Mathematical Sciences, Kyoto University, 20:1025–1036, 1984.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Basel AG
About this paper
Cite this paper
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
Download citation
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