Construction of Hopf G-spaces

Ken-ichi MARUYAMA

doi:10.2969/jmsj/03920257

Ken-ichi MARUYAMA

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 2 Pages 257-267

DOI https://doi.org/10.2969/jmsj/03920257

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Published: 1987 Received: January 10, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to the memory of late Professor Schichiro Oka

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. F. Adams, The sphere considered as an H-space mod p, Quart. J. Math., 12 (1961), 52-60.
2) M. Arkowitz, Localization and H-spaces, Lecture Notes Series, 44, Mathematik Institut, Aarhus Univ., Aarhus, 1976.
3) G. E. Bredon, Equivariant cohomology theories, Lecture Notes in Math., 34, Springer, 1967.
4) M. L. Curtis and G. Mislin, H-spaces which are bundles over S⁷, J. Pure Appl. Alg., 1 (1971), 27-40.
5) P. Hilton and J. Roitberg, On principal S³-bundles over spheres, Ann. of Math., 90 (1969), 91-107.
6) K. Iriye, Hopf τ-spaces and τ-homotopy groups, J. Math. Kyoto Univ., 22 (1983), 719-727,
7) T. Matumoto, On G-CW complexes and a theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 18 (1971-72), 363-374.
8) T. Matumoto, N. Minami and M. Sugawara, On the set of free homotopy classes and Brown's construction, Hiroshima Math. J., 14 (1984), 359-369.
9) J. P. May, J. McClure and G. Triantafillou, Equivariant localization, Bull. London Math. Soc., 14 (1982), 223-230.
10) E. H. Spanier, Algebraic topology, McGraw-Hill, 1966.
11) G. Triantafillou, Rationalization of Hopf G-spaces, Math. Z., 182 (1983), 485-500.
12) S. Warner, Equivariant homotopy theory and Milnor's theorem, Trans. Amer. Math. Soc., 258 (1980), 351-368.
13) A. Zabrodsky, Homotopy associativity and finite CW-complexes, Topology, 9 (1970) 121-128.
14) A. Zabrodsky, On sphere extensions of classical Lie groups, Algebraic Topology, Proc. Symp. Pure Math., 22, 1971, pp. 279-283.
15) A. Zabrodsky, On the construction of new finite CW H-spaces, Invent. Math., 16 (1972), 200-216.
16) A. Zabrodsky, Hopf spaces, North-Holland Math. Studies, 22, 1976.

Right : [1] J. F. Adams, The sphere considered as an H-space mod p, Quart. J. Math., 12 (1961), 52-60.
[2] M. Arkowitz, Localization and H-spaces, Lecture Notes Series, 44, Mathematik Institut, Aarhus Univ., Aarhus, 1976.
[3] G. E. Bredon, Equivariant cohomology theories, Lecture Notes in Math., 34, Springer, 1967.
[4] M. L. Curtis and G. Mislin, H-spaces which are bundles over S⁷, J. Pure Appl. Alg., 1 (1971), 27-40.
[5] P. Hilton and J. Roitberg, On principal S³-bundles over spheres, Ann. of Math., 90 (1969), 91-107.
[6] K. Iriye, Hopf τ-spaces and τ-homotopy groups, J. Math. Kyoto Univ., 22 (1983), 719-727,
[7] T. Matumoto, On G-CW complexes and a theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 18 (1971-72), 363-374.
[8] T. Matumoto, N. Minami and M. Sugawara, On the set of free homotopy classes and Brown's construction, Hiroshima Math. J., 14 (1984), 359-369.
[9] J. P. May, J. McClure and G. Triantafillou, Equivariant localization, Bull. London Math. Soc., 14 (1982), 223-230.
[10] E. H. Spanier, Algebraic topology, McGraw-Hill, 1966.
[11] G. Triantafillou, Rationalization of Hopf G-spaces, Math. Z., 182 (1983), 485-500.
[12] S. Warner, Equivariant homotopy theory and Milnor's theorem, Trans. Amer. Math. Soc., 258 (1980), 351-368.
[13] A. Zabrodsky, Homotopy associativity and finite CW-complexes, Topology, 9 (1970) 121-128.
[14] A. Zabrodsky, On sphere extensions of classical Lie groups, Algebraic Topology, Proc. Symp. Pure Math., 22, 1971, pp. 279-283.
[15] A. Zabrodsky, On the construction of new finite CW H-spaces, Invent. Math., 16 (1972), 200-216.
[16] A. Zabrodsky, Hopf spaces, North-Holland Math. Studies, 22, 1976.

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