Products between homotopy groups

I. M. James

Compositio Mathematica (1971)

  • Volume: 23, Issue: 3, page 329-345
  • ISSN: 0010-437X

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James, I. M.. "Products between homotopy groups." Compositio Mathematica 23.3 (1971): 329-345. <http://eudml.org/doc/89094>.

@article{James1971,
author = {James, I. M.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {329-345},
publisher = {Wolters-Noordhoff Publishing},
title = {Products between homotopy groups},
url = {http://eudml.org/doc/89094},
volume = {23},
year = {1971},
}

TY - JOUR
AU - James, I. M.
TI - Products between homotopy groups
JO - Compositio Mathematica
PY - 1971
PB - Wolters-Noordhoff Publishing
VL - 23
IS - 3
SP - 329
EP - 345
LA - eng
UR - http://eudml.org/doc/89094
ER -

References

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  1. M. Arkowitz [1] Whitehead products as images of Pontrjagin products (to appear). Zbl0199.58001MR278300
  2. W.D. Barcus AND M.G. Barratt [2] On the homotopy classification of extensions of a fixed map, Trans. Amer. Math. Soc., 88 (1958) 57-74. Zbl0095.16801MR97060
  3. R. Bott [3 ] A note on the Samelson product in the classical groups, Comment. Math. Helv., 34 (1960) 249-256. Zbl0094.01503MR123330
  4. B. Harris [4] Some calculations of homotopy groups of symmetric spaces, Trans. Amer. Math. Soc.106 (1963) 174-184. Zbl0117.16501MR143216
  5. P.J. Hilton [5] On the homotopy groups of the union of spheres, J. London Math. Soc.30 (1955) 154-172. Zbl0064.17301MR68218
  6. S.Y. Husseini [6] A note on the intrinsic join of Stiefel manifolds, Comment. Math. Helv.37 (1963) 26-30. Zbl0117.16601MR159324
  7. I.M. James [7] The intrinsic join, Proc. London Math. Soc. (3) 8 (1958) 507-535. Zbl0089.39302MR100839
  8. I.M. James [8] On fibre bundles and their homotopy groups, J. of Math. Kyoto Univ.9 (1969) 5-24. Zbl0189.23801MR248832
  9. I.M. James [9] On the Bott suspension, J. of Math. Kyoto Univ.9 (1969) 161-188. Zbl0202.54301MR248876
  10. I.M. James [10] Ex-homotopy theory I, Illinois J. of Math.15 (1971), 324-337. Zbl0225.55012MR296945
  11. I.M. James [11] On the maps of one fibre space into another, Comp. Math.23 (1971), 317-328. Zbl0218.55019MR301737
  12. I.M. James And J.H.C. Whitehead [12] The homotopy theory of sphere-bundles over spheres I, Proc. London Math. Soc. (3) 4 (1954) 196-218. Zbl0056.16703MR61838
  13. G.S. Mccarty [13] Products between homotopy groups and the J-morphism, Quart. J. of Math. Oxford (2) 15 (1964) 362-370. Zbl0123.16102MR176471
  14. G.S. Mccarty [14] The value of J at a Samelson product, Proc. Amer. Math. Soc.19 (1968) 164-167. Zbl0157.30301MR221504
  15. N.E. Steenrod [15] The topology of fibre bundles (Princeton U.P.1951). Zbl0054.07103MR39258
  16. H. Toda [16] Composition methods in homotopy groups of spheres (Ann. of Math. Study49, Princeton1962). Zbl0101.40703MR143217
  17. G.W. Whitehead [17] On products in homotopy groups, Annals of Math.47 (1946) 460-475. Zbl0060.41106MR16672
  18. G.W. Whitehead [18] On mapping into group-like spaces, Comment. Math. Helv.28 (1954) 320-329. Zbl0058.16801MR65927
  19. J.H.C. Whitehead [19] On certain theorems of G. W. Whitehead, Annals of Math. 58 (1953) 418-428. Zbl0052.19203MR60230

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