Keywords
- Spectral Sequence
- Ring Homomorphism
- Stable Homotopy
- Adams Spectral Sequence
- Stable Homotopy Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J.F. Adams: Stable homotopy and generalized homology; Chicago Lecture Notes in Maths. (1974).
J.F. Adams: Lectures on generalised cohomology; Lecture Notes in Maths. 99, Springer-Verlag (1969) 1–138.
J.C. Becker and D.H. Gottlieb: The transfer map and fibre bundles; Topology 14 (1975) 1–12.
J.C. Becker and D.H. Gottlieb: Transfer maps for fibrations and duality; Compositio Math (1977).
A.K. Bousfield and D. Kan: Homotopy limits, Completions and localisations; Lecture Notes in Maths. 304, Springer-Verlag (1972).
G. Brumfiel and I. Madsen: Evaluation of the transfer and the universal surgery classes; Inventiones Math. 32 (1976) 133–169.
F. Cohen and L. Taylor: A stable decomposition for certain spaces; preprint (1977).
P.E. Conner and E.E. Floyd: The relation of cobordism to K-theories; Lecture Notes in Maths. 28, Springer-Verlag (1966).
A. Dold and R. Thom: Quasifaserungen und unendliche symmetriche produkte; Annals of Maths. (2) 67 (1958) 239–281.
M. Feshbach: The transfer and compact Lie groups; Thesis, Stanford University (1976).
Z. Fiedorowicz and S.B. Priddy: Homology of classical groups over finite fields and their associated infinite loopspaces; Northwestern University preprint (1977).
E.M. Friedlander: Computations of K-theories of finite fields; Topology 15 (1976) 87–109.
E.M. Friedlander: Exceptional isogonies and the classifying spaces of simple Lie groups; Annals of Maths 101 (1975) 510–520.
A. Hattori: Integral characteristic numbers for weakly almost complex manifolds; Topology 5 (1966) 259–280.
D.S. Kahn and S.B. Priddy: Applications of the transfer to stable homotopy theory; Bull. A.M. Soc. 741 (1972) 981–987.
R. Lee and R.H. Szczarba: The group K3(Z) is cyclic of order forty-eight; Annals of Maths. 104 (1976) 31–60.
I. Madsen, V.P. Snaith and J. Tornehave: Infinite loop maps in geometric topology; Math. Proc. Cambs. Phil Soc. (1977) 81, 399–430.
R.E. Mosher: Some stable homotopy of complex projective space; Topology 7 (1968) 179–193.
C.L. Reedy: Thesis, University of California at La Jolla (1975).
V.P. Snaith: Algebraic cobordism and K-theory; to appear Mem. A.M. Soc.
V.P. Snaith: On the S-type of imJ; Proc. Conf. on geometric topology and homotopy theory (Evanston, 1977), to appear in Springer-Verlag Lecture Notes in Maths.
V.P. Snaith: On the algebraic cobordism of Z, submitted to Topology.
V.P. Snaith: Stable decomposition of ΩnΣnX; J. London Math. Soc. 2 (7) (1974) 577–583.
R.E. Stong: Relations among characteristic numbers, I; Topology 4 (1965) 267–281.
R. Thom: Quelques proprietes globales des varietes differentiables; Comm. Math. Helv. 28 (1954) 17–86.
J.B. Wagoner: Delooping the classffying spaces of algebraic K-theory; Topology 11 (1972) 349–370.
G. Wolff: Von Conner-Floyd theorem zum Hattori-Stong theorem; Manuscripta Math. 17 (1975) 327–332.
Problem Session, A.M. Soc. Summer Institute (1976) Stanford.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Snaith, V. (1978). Stable decompositions of classifying spaces with applications to algebraic cobordism theories. In: Hoffman, P., Piccinini, R.A., Sjerve, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064693
Download citation
DOI: https://doi.org/10.1007/BFb0064693
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08930-8
Online ISBN: 978-3-540-35737-7
eBook Packages: Springer Book Archive
