La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie
Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Talk no. 547, 19 p.
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Husemoller, Dale. La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie, in Séminaire Bourbaki : vol. 1979/80, exposés 543-560, Séminaire Bourbaki, no. 22 (1981), Talk no. 547, 19 p. http://www.numdam.org/item/SB_1979-1980__22__54_0/

[1] J.F. Adams - The sphere, considered as an H - space mod p, Quart. J. Math. Oxford Ser. (2), 12 (1961), p. 52-60. | MR | Zbl

[2] W. Browder - Torsion in H - spaces, Ann. of Math., 74 (1961), p. 24-51. | MR | Zbl

[3] F.R. Cohen, J.C. Moore, and J.A. Neisendorfer - Torsion in homotopy groups, Ann. of Math., 109 (1979), p. 121-168. | MR | Zbl

[4] F.R. Cohen, J.C. Moore, and J.A. Neisendorfer - The double suspension and exponents of the homotopy groups of spheres, Ann. of Math., 110 (1979), p. 549-565. | MR | Zbl

[5] F.R. Cohen, J.C. Moore, and J.A. Neisendorfer - Note on higher torsion in the homotopy groups of single suspensions, Illinois Journal, (to appear, 1980). | MR | Zbl

[6] F.R. Cohen, J.C. Moore, and J.A. Neisendorfer - Decomposition of loop spaces and applications to exponents, Proceedings of the Aarhus Topology Symposium (to appear, Lecture Notes). | MR | Zbl

[7] D. Husemoller - Fibre Bundles, 2nd. Ed., Springer Verlag, 1966.

[8] I. James - Reduced product spaces, Ann. of Math., 62 (1955), p. 190-197. | MR | Zbl

[9] I. James - On the suspension sequence, Ann. of Math., 65 (1957), p. 74-107. | MR | Zbl

[10] J.W. Milnor and J.C. Moore - On the structure of Hopf algebras, Ann. of Math., 81 (1965), p. 211-264. | MR | Zbl

[11] J.C. Moore - On homotopy groups of spaces with a single non-vanishing homology group, Ann. of Math., 59 (1954), p. 549 - 557. | MR | Zbl

[12] J.C. Moore - The double suspension and p - primary components of the homotopy groups of spheres, Boll. Soc. Mat. Mexicana, 1 (1956), p. 28-37. | MR | Zbl

[13] J.C. Moore - Some applications of homology theory to homotopy problems, Ann. of Math., 58 (1953), p. 325-350. | MR | Zbl

[14] J.A. Neisendorfer - Homotopy theory modulo an odd prime, Princeton University Thesis, 1972.

[15] J.A. Neisendorfer - Primary homotopy theory, Mem. A.M.S. No. 232 (1980). | Zbl

[16] J.A. Neisendorfer - Smaller exponents for Moore spaces, (to appear).

[17] J.A. Neisendorfer - 3 Primary exponents, (to appear). | MR | Zbl

[18] F.P. Peterson - Generalized cohomotopy groups, Amer. J. Math, 78 (1956), p. 259 - 281. | MR | Zbl

[19] P.S. Selick - Odd primary torsion in the homotopy groups of spheres, Princeton University Thesis, 1977.

[20] P.S. Selick - Odd primary torsion in πk(S3), Topology, 17 (1978), p. 407 - 412. | Zbl

[21] J-P. Serre - Homologie singulière des espaces fibrés. Applications, Ann. of Math., 54 (1951), p. 425 - 505. | MR | Zbl

[22] J-P. Serre - Groupes d'homotopie et classes de groupes abéliens, Ann. of Math., 58 (1953), p. 258 - 294. | MR | Zbl

[23] N. Shimada and T. Yamanoshita - On triviality of the mod p Hopf invariant, Japan J. of Math., 31 (1961), p. 1-25. | MR | Zbl

[24] H. Toda-On the double suspension E2, J. Inst. Polytech. Osaka City Univ., Ser. A, 7 (1965), p. 103 - 145. | MR | Zbl

[25] H. Toda - p - primary components of homotopy groups II, mod p Hopf invariant, Mem. Coll. Sci. Univ. of Kyoto, Ser. A, 31 (1958), p. 143 - 160. | MR | Zbl

[26] G.W. Whitehead - On mappings into group-like spaces, Comment. Mth. Helv., 28 (1954), p. 320 - 328. | MR | Zbl

[6]' B. Gray, On the sphere of origin of infinite families in the homotopy groups of spheres, Topology, 8 (1969), p. 219-232. | MR | Zbl

[9]' A. Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Mem. A.M.S. No. 42 (1962). | MR | Zbl