Abstract
In this paper we will construct a generalization of the Eilenberg-Moore spectral sequence, which in some interesting cases turns out to be a form of the Adams spectral sequence. We recall the construction of both of these in general terms.
This is a preview of subscription content, log in via an institution to check access.
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. F. Adams, Prerequisites (on equivariant stable homotopy theory) for Carls-son’s lecture, Algebraic Topology, Aarhus 1982, ed. by I. Madsen and B. Oliver, Lecture Notes in Math. 1051:483–532, Springer-Verlag, 1984.
H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton, 1956.
G. Carlsson, Equivariant stable homotopy theory and Segal’s Burnside ring conjecture, Ann. of Math. 120:189–224, 1984.
W. G. Dwyer, Strong convergence of the Eilenberg—Moore spectral sequence, Topology 13:255–265, 1974.
J. P. C. Greenlees, Stable maps into free G-spaces, Trans. Amer. Math. Soc. 310:199–215, 1988.
J. P. C. Greenlees, The power of mod р Borel homology, Homotopy Theory and Related Topics, ed. by M. Mimura, Lecture Notes in Math. 1418:140–151, Springer-Verlag, 1990.
L. G. Lewis, J. P. May, and M. Steinberger (with contributions by J. E. McClure), Equivariant Stable Homotopy Theory, Lecture Notes in Math. 1213,Springer-Verlag, 1986.
M. E. Mahowald, Ring spectra which are Thom complexes, Duke Math. J. 46:549–559, 1979.
] J. W. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math. 81(2):211–264, 1965.
W. S. Massey and F. P. Peterson, The mod 2 cohomology structure of certain fibre spaces,Mem. Amer. Math. Soc. 74,American Mathematical Society, Providence, hode Island, 1967.
D. C. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres, Academic Press, New York, 1986.
D. L. Rector, Steenrod operations in the Eilenberg—Moore spectral sequence, Comment. Math. Helv. 45:540–552, 1970.
L. Smith, On the construction of the Eilenberg—Moore spectral sequence, Bull. Amer. Math. Soc. 75:873–878, 1969.
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
Mahowald, M., Ravenel, D.C., Shick, P. (2001). The Thomified Eilenberg—Moore spectral sequence. 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_16
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8312-2_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9513-2
Online ISBN: 978-3-0348-8312-2
eBook Packages: Springer Book Archive