Keywords
- Homotopy Group
- Decomposition Theorem
- Loop Space
- Homotopy Theory
- High Torsion
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, The sphere, considered as an H-space mod p, Quart J. Math. Oxford Ser. (2), 12 (1961), 52–60.
M.G. Barratt, Spaces of finite characteristic, Quart, J. Math. Oxford Ser. (2), 11 (1960), 124–136.
F.R. Cohen, J.C. Moore, and J.A. Neisendorfer, Torsion in homotopy groups, to appear in Ann. of Math.
_____, The double suspension and exponents of the homotopy groups of spheres, to appear.
_____, Moore spaces have exponents, to appear.
_____, James-Hopf invariants and homology, to appear.
B. Gray, On the sphere of orgin of infinite families in the homotopy groups of spheres, Topology, 8 (1969), 219–232.
I.M. James, Reduced product spaces, Ann. of Math., 62 (1955), 170–197.
I.M. James, On the suspension sequence, Ann. of Math., 65 (1957), 74–107.
J.W. Milnor, On the construction FK, in Algebraic Topology — a student's guide by J.F. Adams, Cambridge Univ. Press, 1972.
J.A. Neisendorfer, Unstable homotopy theory modulo an odd prime, to appear.
P.S. Selick, Odd primary torsion in Πk(S3), to appear in Topology.
J-P. Serre, Groupes d'homotopie et classes de groupes abeliens, Ann. of Math., 58 (1953), 258–294.
H. Toda, On the double suspension E2, J. Inst. Polytech. Osaka City Univ. Ser. A, 7 (1956), 103–145.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Cohen, F.R., Moore, J.C., Neisendorfer, J.A. (1979). Decompositions of loop spaces and applications to exponents. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088074
Download citation
DOI: https://doi.org/10.1007/BFb0088074
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09721-1
Online ISBN: 978-3-540-38520-2
eBook Packages: Springer Book Archive
