La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie
Séminaire Bourbaki (1979-1980)
- Volume: 22, page 54-72
- ISSN: 0303-1179
Access Full Article
topHow to cite
topHusemoller, Dale. "La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie." Séminaire Bourbaki 22 (1979-1980): 54-72. <http://eudml.org/doc/109963>.
@article{Husemoller1979-1980,
author = {Husemoller, Dale},
journal = {Séminaire Bourbaki},
keywords = {double suspension map of spheres localized at an odd prime; p-exponent of the homotopy groups of spheres; Barratt conjecture},
language = {fre},
pages = {54-72},
publisher = {Springer-Verlag},
title = {La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie},
url = {http://eudml.org/doc/109963},
volume = {22},
year = {1979-1980},
}
TY - JOUR
AU - Husemoller, Dale
TI - La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie
JO - Séminaire Bourbaki
PY - 1979-1980
PB - Springer-Verlag
VL - 22
SP - 54
EP - 72
LA - fre
KW - double suspension map of spheres localized at an odd prime; p-exponent of the homotopy groups of spheres; Barratt conjecture
UR - http://eudml.org/doc/109963
ER -
References
top- [1] J.F. Adams - The sphere, considered as an H - space mod p, Quart. J. Math. Oxford Ser. (2), 12 (1961), p. 52-60. Zbl0119.18701MR123323
- [2] W. Browder - Torsion in H - spaces, Ann. of Math., 74 (1961), p. 24-51. Zbl0112.14501MR124891
- [3] F.R. Cohen, J.C. Moore, and J.A. Neisendorfer - Torsion in homotopy groups, Ann. of Math., 109 (1979), p. 121-168. Zbl0405.55018MR519355
- [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. Zbl0443.55009MR554384
- [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). Zbl0461.55009MR586800
- [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). Zbl0436.55013MR561210
- [7] D. Husemoller - Fibre Bundles, 2nd. Ed., Springer Verlag, 1966.
- [8] I. James - Reduced product spaces, Ann. of Math., 62 (1955), p. 190-197. Zbl0064.41505MR73181
- [9] I. James - On the suspension sequence, Ann. of Math., 65 (1957), p. 74-107. Zbl0077.36502MR83124
- [10] J.W. Milnor and J.C. Moore - On the structure of Hopf algebras, Ann. of Math., 81 (1965), p. 211-264. Zbl0163.28202MR174052
- [11] J.C. Moore - On homotopy groups of spaces with a single non-vanishing homology group, Ann. of Math., 59 (1954), p. 549 - 557. Zbl0055.41902MR61382
- [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. Zbl0071.38701MR92967
- [13] J.C. Moore - Some applications of homology theory to homotopy problems, Ann. of Math., 58 (1953), p. 325-350. Zbl0052.19302MR59549
- [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). Zbl0446.55002
- [16] J.A. Neisendorfer - Smaller exponents for Moore spaces, (to appear).
- [17] J.A. Neisendorfer - 3 Primary exponents, (to appear). Zbl0483.55007MR611286
- [18] F.P. Peterson - Generalized cohomotopy groups, Amer. J. Math, 78 (1956), p. 259 - 281. Zbl0071.38505MR84136
- [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. Zbl0403.55021
- [21] J-P. Serre - Homologie singulière des espaces fibrés. Applications, Ann. of Math., 54 (1951), p. 425 - 505. Zbl0045.26003MR45386
- [22] J-P. Serre - Groupes d'homotopie et classes de groupes abéliens, Ann. of Math., 58 (1953), p. 258 - 294. Zbl0052.19303MR59548
- [23] N. Shimada and T. Yamanoshita - On triviality of the mod p Hopf invariant, Japan J. of Math., 31 (1961), p. 1-25. Zbl0108.17703MR148060
- [24] H. Toda-On the double suspension E2, J. Inst. Polytech. Osaka City Univ., Ser. A, 7 (1965), p. 103 - 145. Zbl0073.18303MR92968
- [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. Zbl0084.38601MR105683
- [26] G.W. Whitehead - On mappings into group-like spaces, Comment. Mth. Helv., 28 (1954), p. 320 - 328. Zbl0058.16801MR65927
- [6]' B. Gray, On the sphere of origin of infinite families in the homotopy groups of spheres, Topology, 8 (1969), p. 219-232. Zbl0176.52502MR245008
- [9]' A. Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Mem. A.M.S. No. 42 (1962). Zbl0131.38101MR182001
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.