Proceedings of the Japan Academy, Series A, Mathematical Sciences

A note on steenrod operations in the Eilenberg-Moore spectral sequence

Masamitsu Mori

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 4 (1977), 112-114.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195518046

Digital Object Identifier
doi:10.3792/pjaa.53.112

Mathematical Reviews number (MathSciNet)
MR0500965

Zentralblatt MATH identifier
0441.55017

Subjects
Primary: 55G15
Secondary: 55H20

Citation

Mori, Masamitsu. A note on steenrod operations in the Eilenberg-Moore spectral sequence. Proc. Japan Acad. Ser. A Math. Sci. 53 (1977), no. 4, 112--114. doi:10.3792/pjaa.53.112. https://projecteuclid.org/euclid.pja/1195518046


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References

  • [1] A. Dold: Uber die Steenrodschen kohomologieoperationen. Ann. of Math., 73, 258-294 (1961).
  • [2] A. Kono and M. Mimura: Cohomology mod 3 of the classifying space of the compact, 1-connected Lie group of type E6 (unpublished).
  • [3] A. Kono, M. Mimura, and N. Shimada: Cohomology of classifying spaces of certain associative H-spaces. J. Math. Kyoto Univ., 15, 607-617 (1975).
  • [4] P. May: A general algebraic approach to Steenrod operations. Lecture notes in Math., No. 168, 153-231 (1970).
  • [5] M. Mimura and M. Mori: Squaring operations in the Eilenberg-Moore spectral sequence and the classifying space of an associative H-space. I (to appear in Publ. RIMS, Kyoto Univ.).
  • [6] J. C. Moore: Algebre homologique et homologie des espaces classificants. Seminaire Henri Cartan, Expose 7 (1959/60).
  • [7] W. M. Singer: Steenrod squares in spectral sequences. I, II. Trans. Amer. Math. Soc, 175, 327-336; 337-353 (1973).
  • [8] H. Toda: Cohomology mod 3 of the classifying space BF* of exceptional group F4. J. Math. Kyoto Univ., 13, 97-115 (1972).