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Equivalence of Toda-Hopf invariants

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Abstract

In this paper it is shown that various existing constructions of ‘Hopf invariant’ are equivalent to each other. In consequence one gets that the oneToda-Hopf invariant enjoys various properties.

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References

  1. 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.

    Article  MathSciNet  Google Scholar 

  2. Brayton Gray,On Toda’s fibration, Proc. Camb. Phil. Soc.97 (1985), 289–298.

    Article  MATH  Google Scholar 

  3. Brayton Gray,On the homotopy groups of mapping cones, Proc. London Math. Soc. (3)26 (1973), 497–520.

    Article  MATH  MathSciNet  Google Scholar 

  4. Brayton Gray,On the interated suspension, to appear.

  5. J. C. Moore and J. A. Neisendorfer,A view of some aspects of unstable homotopy theory since 1950, London Math. Soc. Lect. Note Ser.117 (1987), 117–148.

    MathSciNet  Google Scholar 

  6. P. Selick,A spectral sequence concerning the double suspension, Inv. Math.64 (1981), 15–24.

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Toda,On the double suspension E 2, J. Inst. Polytech. Osaka City Univ.7 (1956), 103–145.

    MathSciNet  Google Scholar 

  8. G. W. Whitehead,Elements of Homotopy Theory, Springer-Verlag, New York, Heidelberg, Berlin, 1978.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Rochester, 14627, Rochester, NY, USA

    John C. Moore & Joseph A. Neisendorfer

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  1. John C. Moore
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  2. Joseph A. Neisendorfer
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Both authors supported in part by the NSF.

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Moore, J.C., Neisendorfer, J.A. Equivalence of Toda-Hopf invariants. Israel J. Math. 66, 300–318 (1989). https://doi.org/10.1007/BF02765900

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  • DOI: https://doi.org/10.1007/BF02765900

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