A note on the Kahn-Priddy map
ジャーナル
フリー
1988 年 40 巻 1 号 p. 53-63
詳細
- Published: 1988 Received: 1986/06/12 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル 訂正内容: Wrong : Dedicated to Professor Hirosi Toda on his 60th birthday
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) J. F. Adams, Vector fields on spheres, Ann. of Math., 75 (1962), 603-632.
2) J. F. Adams, On the groups J(X)-IV, Topology, 5 (1966), 21-71.
3) M. Fujii, K0-groups of projective spaces, Osaka J. Math., 4 (1967), 141-149.
4) K. Iriye, On the James number of cyclic maps of spheres, Japan. J. Math., 10 (1984), 1-8.
5) I. M. James, The topology of Stiefel manifolds, London Math. Soc., Lecture Note, 24, Cambridge Univ., 1976.
6) I. M. James, E. Thomas, H. Toda and G. W. Whitehead, On the symmetric square of a sphere, J. Math. Mech., 12 (1963), 771-776.
7) D. S. Kahn and S. B. Priddy, Applications of the transfer to stable homotopy theory, Bull. Amer. Math. Soc., 78 (1972), 981-987.
8) T. Kambe, The structure of KΛ-rings of the lens space and their applications, J. Math. Soc. Japan, 18 (1966), 135-146.
9) T. Kobayashi, Non-immersion theorems for lens spaces. II, J. Sci. Hiroshima Univ., Ser. A-I, 32 (1968), 285-292.
10) K. Y. Lam, KO-equivalences and existence of nonsingular bilinear maps, Pacific J. Math., 82 (1979), 145-154.
11) M. Mimura, J. Mukai and G. Nishida, Representing elements of stable homotopy groups by symmetric maps, Osaka J. Math., 11(1974), 105-111.
12) J. Mukai, A characterization of the Kahn-Priddy map, Advanced Studies in Pure Math., 9 (1986), 287-291.
13) J. Mukai, On the stable homotopy of the real projective space of even low dimension, Publ. RIMS, Kyoto Univ., 22 (1986), 81-95.
14) G. Nishida, The nilpotency of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan, 25 (1973), 707-732.
15) G. Nishida, On the algebraic K-group of lens spaces and its applications, J. Math. Kyoto Univ., 23 (1983), 211-217.
16) H. Toda, Order of the identity class of a suspension space, Ann. of Math., 78 (1963), 300-325.
17) H. Toda, On iterated suspensions I, J. Math. Kyoto Univ., 5 (1965), 87-142.
18) H. Toda, On iterated suspensions II, J. Math. Kyoto Univ., 5 (1966), 209-250.
19) J. Ucci, On cyclic and iterated cyclic products of spheres, Osaka J. Math., 8 (1971), 393-404.
Right : [1] J. F. Adams, Vector fields on spheres, Ann. of Math., 75 (1962), 603-632.
[2] J. F. Adams, On the groups J(X)-IV, Topology, 5 (1966), 21-71.
[3] M. Fujii, K0-groups of projective spaces, Osaka J. Math., 4 (1967), 141-149.
[4] K. Iriye, On the James number of cyclic maps of spheres, Japan. J. Math., 10 (1984), 1-8.
[5] I. M. James, The topology of Stiefel manifolds, London Math. Soc., Lecture Note, 24, Cambridge Univ., 1976.
[6] I. M. James, E. Thomas, H. Toda and G. W. Whitehead, On the symmetric square of a sphere, J. Math. Mech., 12 (1963), 771-776.
[7] D. S. Kahn and S. B. Priddy, Applications of the transfer to stable homotopy theory, Bull. Amer. Math. Soc., 78 (1972), 981-987.
[8] T. Kambe, The structure of KΛ-rings of the lens space and their applications, J. Math. Soc. Japan, 18 (1966), 135-146.
[9] T. Kobayashi, Non-immersion theorems for lens spaces. II, J. Sci. Hiroshima Univ., Ser. A-I, 32 (1968), 285-292.
[10] K. Y. Lam, KO-equivalences and existence of nonsingular bilinear maps, Pacific J. Math., 82 (1979), 145-154.
[11] M. Mimura, J. Mukai and G. Nishida, Representing elements of stable homotopy groups by symmetric maps, Osaka J. Math., 11 (1974), 105-111.
[12] J. Mukai, A characterization of the Kahn-Priddy map, Advanced Studies in Pure Math., 9 (1986), 287-291.
[13] J. Mukai, On the stable homotopy of the real projective space of even low dimension, Publ. RIMS, Kyoto Univ., 22 (1986), 81-95.
[14] G. Nishida, The nilpotency of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan, 25 (1973), 707-732.
[15] G. Nishida, On the algebraic K-group of lens spaces and its applications, J. Math. Kyoto Univ., 23 (1983), 211-217.
[16] H. Toda, Order of the identity class of a suspension space, Ann. of Math., 78 (1963), 300-325.
[17] H. Toda, On iterated suspensions I, J. Math. Kyoto Univ., 5 (1965), 87-142.
[18] H. Toda, On iterated suspensions II, J. Math. Kyoto Univ., 5 (1966), 209-250.
[19] J. Ucci, On cyclic and iterated cyclic products of spheres, Osaka J. Math., 8 (1971), 393-404.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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