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The splitting of ω2 S 2n+1

Part of the Lecture Notes in Mathematics book series (LNM,volume 1286)

Keywords

  • Spectral Sequence
  • Loop Space
  • Free Algebra
  • Homotopy Theory
  • Fundamental Class

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References

  1. F. Cohen and M. Mahowald, Unstable properties of ωn S n+k, Contem. Maths. AMS vol 12(1982), 81–90.

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  2. F. Cohen, The unstable decomposition of Ω2Σ2 X and its applications, Math. Zeit. 182(1983), 553–568.

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  3. Ralph Cohen, Geometry of Ω2 S 3 and braid orientations, Invent. Math. 54(1979), 53–67.

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  4. J. P. May, The Geometry of Iterated Loop Spaces, Lecture Notes in Mathematics 271, Springer-Verlag.

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  5. M. E. Mahowald, A new infinite family in 2πS * Topology 16(1977), 249–256.

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  6. R. J. Milgram, Group representations and the Adams spectral sequence, Pacific J. Math. 41(1972), 157–182.

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  7. R. Mosher and M. C. Tangora, Cohomology operations and Applications in Homotopy Theory, Harper and Row (1968).

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  8. N. Steenrod and D. Epstein, Cohomology Operations, Ann. of Math. Studies #50(1962).

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  9. V.P. Snaith, A stable decomposition of ωn S nX, J. Lond. Math. Soc. (2), 7(1974), 577–583.

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© 1987 Springer-Verlag

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Cohen, F., Mahowald, M. (1987). The splitting of ω2 S 2n+1 . In: Miller, H.R., Ravenel, D.C. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078742

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  • DOI: https://doi.org/10.1007/BFb0078742

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18481-2

  • Online ISBN: 978-3-540-47986-4

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