Proceedings of the Japan Academy, Series A, Mathematical Sciences

On the $2$-components of the unstable homotopy groups of spheres, I

Nobuyuki Oda

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Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 6 (1977), 202-205.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195517989

Digital Object Identifier
doi:10.3792/pjaa.53.202

Mathematical Reviews number (MathSciNet)
MR0464231

Zentralblatt MATH identifier
0396.55013

Subjects
Primary: 55E45

Citation

Oda, Nobuyuki. On the $2$-components of the unstable homotopy groups of spheres, I. Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), no. 6, 202--205. doi:10.3792/pjaa.53.202. https://projecteuclid.org/euclid.pja/1195517989


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References

  • [1] J. F. Adams: Vector fields on spheres. Ann. of Math., 75, 603-632 (1962).
  • [2] J. F. Adams: On the groups J(Z)-IV. Topology, 5, 21-71 (1966).
  • [3] M. Mahowald: The metastable homotopy of Sn. Mem. Amer. Math. Soc, No. 72 (1967).
  • [4] M. Mimura: On the generalized Hopf homomorphism and the higher composition, Part I, Part II. J. Math. Kyoto Univ., 4, 171-190, 301-326 (1964/5).
  • [5] M. Mimura, M. Mori, and N. Oda: On the homotopy groups of spheres. Proc. Japan Acad., 50, 277-280 (1974).
  • [6] M. Mimura, M. Mori, and N. Oda: Determination of 2-components of the 23- and 24-stems in homotopy groups of spheres. Mem. Fac. Sci. Kyushu Univ., 29, 1-42 (1975).
  • [7] M. Mimura and H. Toda: The (w+20)-th homotopy groups of ^-spheres. J. Math. Kyoto Univ., 3, 37-58 (1963).
  • [8] Y. Nomura: Note on some Whitehead products. Proc. Japan Acad., 50, 48-52 (1974).
  • [9] N. Oda: Hopf invariants in metastable homotopy groups of spheres. Mem. Fac. Sci. Kyushu Univ., 30, 221-246 (1976).
  • [10] S. Thomeier: Einige Ergebnisse iiber Homotopiegruppen von Sparen. Math. Ann., 164, 225-250 (1966).
  • [11] H. Toda: Composition methods in homotopy groups of spheres. Ann. of Math. Studies, No. 49, Princeton (1962).

See also

  • Part II: Nobuyuki Oda. On the $2$-components of the unstable homotopy groups of spheres, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 7 (1977), 215--218.