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Transactions of the American Mathematical Society

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Some calculations of homotopy groups of symmetric spaces


Author: Bruno Harris
Journal: Trans. Amer. Math. Soc. 106 (1963), 174-184
MSC: Primary 55.45
DOI: https://doi.org/10.1090/S0002-9947-1963-0143216-6
MathSciNet review: 0143216
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  • [2] B. Harris, On the homotopy groups of the classical groups, Ann. of Math. (2) 74 (1961), 407-413. MR 0131278 (24:A1130)
  • [3] -, Suspensions and characteristic maps for symmetric spaces, Ann. of Math. 76 (1962). MR 0149479 (26:6967)
  • [4] M. Kervaire, Some nonstable homotopy groups of Lie groups, Illinois J. Math. 4 (1960), 161-169. MR 0113237 (22:4075)
  • [5] -, Non-parallelizability of the n-sphere for $ n > 7$, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 280-283.
  • [6] W. S. Massey, Obstructions to the existence of almost complex structures, Bull. Amer. Math. Soc. 67 (1961), 559-564. MR 0133137 (24:A2971)
  • [7] N. E. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, N. J., 1951. MR 0039258 (12:522b)

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DOI: https://doi.org/10.1090/S0002-9947-1963-0143216-6
Article copyright: © Copyright 1963 American Mathematical Society

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