Proceedings of the Japan Academy

Extended $p$-th powers of complexes and applications to homotopy theory

Hirosi Toda

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Article information

Source
Proc. Japan Acad., Volume 44, Number 4 (1968), 198-203.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195521243

Digital Object Identifier
doi:10.3792/pja/1195521243

Mathematical Reviews number (MathSciNet)
MR0230311

Zentralblatt MATH identifier
0181.26405

Subjects
Primary: 55.40

Citation

Toda, Hirosi. Extended $p$-th powers of complexes and applications to homotopy theory. Proc. Japan Acad. 44 (1968), no. 4, 198--203. doi:10.3792/pja/1195521243. https://projecteuclid.org/euclid.pja/1195521243


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References

  • [1] S. Araki and H. Toda: Multiplicative structures in mod q cohomology theories. I, II. Osaka J. Math., 3, 71-115 (1965), 3, 81-120 (1966).
    Mathematical Reviews (MathSciNet): MR182967
    Zentralblatt MATH: 0152.22102
    Project Euclid: euclid.ojm/1200691225
  • [2] E. Dyer and R. K. Lashof: Homology of iterated loop spaces. Amer. J. Math., 84, 35-88 (1962).
    Mathematical Reviews (MathSciNet): MR141112
    Zentralblatt MATH: 0119.18206
    Digital Object Identifier: doi:10.2307/2372804
    JSTOR: links.jstor.org
  • [3] G. Nishida: Cohomology operations in iterated loop spaces. Proc. Japan Acad., 44(3), 104-109 (1968).
    Mathematical Reviews (MathSciNet): MR240811
    Zentralblatt MATH: 0165.26202
    Digital Object Identifier: doi:10.3792/pja/1195521291
    Project Euclid: euclid.pja/1195521291
  • [4] N. E. Steenrod: Cohomology operations. Ann. Math. Study, 51(1962).
    Mathematical Reviews (MathSciNet): MR145525
  • [5] H. Toda: Composition methods in homotopy groups of spheres. Ann. Math. Study, 50 (1962).
    Mathematical Reviews (MathSciNet): MR143217
    Zentralblatt MATH: 0101.40703
  • [6] H. Toda: On iterated suspensions. I. J. Math. Kyoto Univ., 5, 87-142 (1965).
    Mathematical Reviews (MathSciNet): MR210130
    Zentralblatt MATH: 0149.40801
    Project Euclid: euclid.kjm/1250524559
  • [7] H. Toda: An important relation in homotopy groups of spheres. Proc. Japan Acad., 43(9), 839-842 (1967).
    Mathematical Reviews (MathSciNet): MR230310
    Zentralblatt MATH: 0169.25603
    Digital Object Identifier: doi:10.3792/pja/1195521423
    Project Euclid: euclid.pja/1195521423
  • [8] H. Toda: On iterated suspensions. III. J. Math. Kyoto Univ. (to appear).
    Mathematical Reviews (MathSciNet): MR232389
    Zentralblatt MATH: 0164.53701
    Project Euclid: euclid.kjm/1250524178
  • [9] N. Yamamoto: Algebra of stable homotopy of Moore space. J. Math Osaka City Univ., 14, 45-67 (1963).
    Mathematical Reviews (MathSciNet): MR157382
    Zentralblatt MATH: 0195.53001

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