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The nilpotency of elements of the stable homotopy groups of spheres
Goro NISHIDA
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Goro NISHIDA
Research Institute for Mathematical Sciences Kyoto University
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1973 Volume 25 Issue 4 Pages 707-732
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- Published: 1973 Received: February 16, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. F. Adams, On the group J(X)-II, Topology, 3 (1965), 137-171.
2) S. Araki and T. Kudo, Topology of Hn-spaces and H-squaring operations, Mem. Fac. Sci. Kyushu Univ., 10 (1965), 85-120.
3) M. F. Atiyah, Thom complexes, Proc. London Math. Soc., (3) 11 (1961), 291-310.
4) M. G. Barratt, A free group functor for stable homotopy, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1971.
5) M. G. Barratt, On Γ-structures, Bull. Amer. Math. Soc., 77 (1971), 1099.
6) E. Dyer and R. K. Lashof, Homology of iterated loop spaces, Amer. J. Math., 84 (1962), 35-88.
7) P. J. Eccles, Thesis, Manchester univ., 1972.
8) D. S. Kahn and S. Priddy, Applications of the transfer to stable homotopy theory, to appear in Bull. Amer. Math. Soc.
9) T. Kambe, H. Matsunaga and H. Toda, On stunted lens spaces, J. Math. Kyoto Univ., 5 (1966).
10) T. Kudo, A transgression theorem, Mem. Fac. Sci. Kyusyu Univ. (A), 9 (1956), 79-81.
11) J. P. May, The geometry of iterated loop spaces, mimeographed note, 1971.
12) R. J. Milgram, The mod 2 spherical characteristic classes, Ann. of Math., 92 (1970), 238-261.
13) J. W. Milnor, The Steenrod algebra and its dual, Ann. of Math., 67 (1958), 150-171.
14) J. W. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math., 81 (1965), 211-264.
15) M. Nakaoka, Decomposition theorem for homology groups of symmetric groups, Ann, of Math., 71 (1960), 16-42.
16) G. Nishida, Cohomology operations in iterated loop spaces, Proc. Japan Acad., 44 (3) (1968), 104-109.
17) S. Priddy, On Ω∞S∞ and the infinite symmetric group, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1971.
18) G. Segal, Operations in stable homotopy theory, preprint.
19) N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. Math. Study, 51 (1962).
20) H. Toda, Extended p-th powers of complexes and applications to homotopy theory, Proc. Japan Acad., 44 (4) (1968), 198-203.
21) H. Toda, On iterated suspensions I, J. Math. Kyoto Univ., 5 (1965), 87-142.
22) A. Tsuchiya, Characteristic classes for spherical fibre spaces, Nagoya Math. J., 43 (1971), 1-39.
Right : [1] J. F. Adams, On the group J(X)-II, Topology, 3 (1965), 137-171.
[2] S. Araki and T. Kudo, Topology of Hn-spaces and H-squaring operations, Mem. Fac. Sci. Kyushu Univ., 10 (1965), 85-120.
[3] M. F. Atiyah, Thom complexes, Proc. London Math. Soc., (3) 11 (1961), 291-310.
[4] M. G. Barratt, A free group functor for stable homotopy, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1971.
[5] M. G. Barratt, On Γ-structures, Bull. Amer. Math. Soc., 77 (1971), 1099.
[6] E. Dyer and R. K. Lashof, Homology of iterated loop spaces, Amer. J. Math., 84 (1962), 35-88.
[7] P. J. Eccles, Thesis, Manchester univ., 1972.
[8] D. S. Kahn and S. Priddy, Applications of the transfer to stable homotopy theory, to appear in Bull. Amer. Math. Soc.
[9] T. Kambe, H. Matsunaga and H. Toda, On stunted lens spaces, J. Math. Kyoto Univ., 5 (1966).
[10] T. Kudo, A transgression theorem, Mem. Fac. Sci. Kyusyu Univ. (A), 9 (1956), 79-81.
[11] J. P. May, The geometry of iterated loop spaces, mimeographed note, 1971.
[12] R. J. Milgram, The mod 2 spherical characteristic classes, Ann. of Math., 92 (1970), 238-261.
[13] J. W. Milnor, The Steenrod algebra and its dual, Ann. of Math., 67 (1958), 150-171.
[14] J. W. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math., 81 (1965), 211-264.
[15] M. Nakaoka, Decomposition theorem for homology groups of symmetric groups, Ann. of Math., 71 (1960), 16-42.
[16] G. Nishida, Cohomology operations in iterated loop spaces, Proc. Japan Acad., 44 (3) (1968), 104-109.
[17] S. Priddy, On Ω∞S∞ and the infinite symmetric group, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1971.
[18] G. Segal, Operations in stable homotopy theory, preprint.
[19] N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. Math. Study, 51 (1962).
[20] H. Toda, Extended p-th powers of complexes and applications to homotopy theory, Proc. Japan Acad., 44 (4) (1968), 198-203.
[21] H. Toda, On iterated suspensions I, J. Math. Kyoto Univ., 5 (1965), 87-142.
[22] A. Tsuchiya, Characteristic classes for spherical fibre spaces, Nagoya Math. J., 43 (1971), 1-39.
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