Hattori–Stong theorem

Short description: Links the stable homotopy of a Thom spectrum and the primitive elements of its K-homology

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

• 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 
• 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