Abstract
Criteria are given which characterize Co-H and Co-A maps from arbitrary double suspensions to odd dimensional spheres in terms of the maps in the EHP sequence.
Similar content being viewed by others
References
I. Berstein,A note on spaces with non-associative comultiplication, Proc. Camb. Phil. Soc.60 (1964), 353–354.
I. Berstein and J. R. Harper,Cogroups which are not suspensions, to appear.
M. G. Barratt,A theorem on the homotopy of a certain differential group, Quart. J. Math.11 (1960), 275–286.
M. G. Barratt,Ring stacks, J. London Math. Soc.36 (1961), 480–495.
M. G. Barratt and P. H. Chan,A note on a conjecture of Ganea, J. London Math. Soc.20 (1979), 544–548.
F. R. Cohen, J. C. Moore and J. A. Neisendorfer,The double suspension and exponents of the homotopy groups of spheres, Ann. of Math.110 (1979), 549–565.
B. Gray,On Toda’s fibrations, Math. Proc. Camb. Phil. Soc.97 (1985), 289–298.
B. Gray,Desupension at an odd prime, inAlgebraic Topology Aarhus 1982, Springer Lecture Notes in Math.1051, Springer-Verlag, Berlin, 1984, pp. 360–370.
J. R. Harper,A proof of Gray’s conjecture, to appear.
M. Lazard,Lois de groupes et analyseurs, Ann. Sci. Ec. Norm. Super.52 (1955), 299–400.
J. A. Neisendorfer,Properties of certain H-spaces, Quart. J. Math.34 (1983), 201–209.
P. Selick,Odd primary torsion in Π k S 3, Topology17 (1978), 407–412.
P. Selick,A spectral sequence concerning the double suspension, Invent. Math.64 (1981), 15–24.
H. Toda,On the double suspension E 2, J. Inst. Polytech. Osaka City Univ. Ser.A7 (1956), 103–145.
A. Zabrodsky,Implications in the cohomology of H-spaces, Ill. J. Math.14 (1970), 363–375.
A. Zabrodsky,Hopf Spaces, North-Holland, Amsterdam, 1976.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harper, J.R. Co-H-maps to spheres. Israel J. Math. 66, 223–237 (1989). https://doi.org/10.1007/BF02765894
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02765894