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Hattori–Stong theorem

From Wikipedia, the free encyclopedia

In algebraic topology, the Hattori–Stong theorem, proved by Robert Evert Stong (1965) and Akio Hattori (1966), gives an isomorphism between the stable homotopy of a Thom spectrum and the primitive elements of its K-homology.

References

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  • Hattori, Akio (1966), "Integral characteristic numbers for weakly almost complex manifolds", Topology, 5 (3): 259–280, doi:10.1016/0040-9383(66)90010-3, ISSN 0040-9383, MR 0192517
  • Stong, Robert E. (1965), "Relations among characteristic numbers. I", Topology, 4 (3): 267–281, doi:10.1016/0040-9383(65)90011-X, ISSN 0040-9383, MR 0192515