Hattori–Stong theorem

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

References

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