Article PDF
Avoid common mistakes on your manuscript.
References
A. Adem, R. L. Cohen, and W. G. Dwyer. Generalized Tate homology, homotopy fixed points and the transfer. InContemporary Mathematics, volume 96, pages 1–13, 1989.
N. A. Baas. On bordism theory of manifolds with singularities.Math. Scand., 33:279–302, 1973.
A. Baker and U. Würgler. Liftings of formal groups and the Artinian completion ofv −1 n BP.Math. Proc. Cambridge Phil. Soc., 106:511–530, 1989.
J.M. Boardman. Stable homotopy theory. University of Warwick, 1965.
A. K. Bousfield. The Boolean algebra of spectra.Commentarii Mathematici Helvetici, 54:368–377, 1979.
Gunnar Carlsson. Equivariant stable homotopy and Segal’s Burnside ring conjecture.Ann. Math., 120:189–224, 1984.
D. Davis, D. Johnson, J. Klippenstein, M. Mahowald, and S. Wegmann. The spectrum (P ΛBP〈2〉)_∞.Trans. Am. Math. Soc., 296:95–110, 1986.
D. Davis and M. Mahowald. The spectrum (P Λbo)_∞.Math. Proc. Cam. Phil. Soc., 96:85–93, 1984.
E. Devinatz, M. J. Hopkins, and J. H. Smith. Nilpotence and stable homotopy theory.Annals of Mathematics, 128:207–242, 1988.
E. S. Devinatz. Small ring spectra.Journal of Pure and Applied Algebra, 81:11–16, 1992.
J. P. C. Greenlees and J. P. May. Generalized Tate cohomology.Memoirs of the American Mathematical Society 543 (1995).
J. H. Gunarwardena. Cohomotopy of some classifying spaces. thesis, 1981.
M. J. Hopkins and J. H. Smith. Nilpotence and stable homotopy theory II. To appear.
M. Hovey. Bousfield localization functors and Hopkins’ chromatic splitting conjecture. InProceedings of the Čech centennial homotopy theory conference, 1993.Contemporary Mathematics, 181:225–250, 1995.
D. C. Johnson and W. S. Wilson. BP-operations and Morava’s extraordinary K-theories.Mathematische Zeitschrift, 144:55–75, 1975.
L. G. Lewis, J. P. May, and M. Steinberger.Equivariant Stable Homotopy Theory, volume 1213 ofLecture Notes in Mathematics. Springer-Verlag, New York, 1986.
W. H. Lin. On conjectures of Mahowald, Segal and Sullivan.Proc. Cambridge Phil. Soc., 87:449–458, 1980.
M. E. Mahowald and D. C. Ravenel. Toward a global understanding of the homotopy groups of spheres. In Samuel Gitler, editor,The Lefschetz Centennial Conference: Proceedings on Algebraic Topology, volume 58 II ofContemporary Mathematics, pages 57–74, Providence, Rhode Island, 1987. American Mathematical Society.
M. E. Mahowald and H. Sadofsky.v n -telescopes and the Adams spectral sequence.Duke Mathematical Journal, 78:101–129, 1995.
M. E. Mahowald and P. Shick. Root invariants and periodicity in stable homotopy theory.Bull. London Math. Soc., 20:262–266, 1988.
M.E. Mahowald and P. Shick. Periodic phenomena in the classical Adams spectral sequence.Trans. Amer. Math. Soc., 300:191–206, 1987.
J.P. May Equivariant constructions of nonequivariant spectra. In W. Browder, editor,Algebraic topology and algebraic K-theory : proceedings of a conference dedicated to John C. Moore, pages 345–364, 1987. Princeton University Press.
D. C. Ravenel. MoravaK-theories and finite groups. In S. Gitler, editor,Symposium on algebraic topology in honor of José Adem, Contemporary Mathematics, volume 12, pages 289–292, 1982.
H. Sadofsky. The root invariant andv 1-periodic families.Topology, 31:65–111, 1992.
R. Switzer.Algebraic Topology — Homotopy and Homology. Springer-Verlag, New York, 1975.
U. Würgler. Cobordism theories of unitary manifolds with singularities and formal group laws.Mathematische Zeitschrift, 150:239–260, 1976.
Author information
Authors and Affiliations
Additional information
The second author was supported by National Science Foundation grant DMS-9107943
Rights and permissions
About this article
Cite this article
Greenlees, J.P.C., Sadofsky, H. The Tate spectrum ofv n -periodic complex oriented theories. Math Z 222, 391–405 (1996). https://doi.org/10.1007/BF02621873
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02621873