Jump to content

Hattori–Stong theorem

Edit links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by ArnoldReinhold (talk | contribs) at 12:49, 27 July 2020 (Adding short description: "Links the stable homotopy of a Thom spectrum and the primitive elements of its K-homology" (Shortdesc helper)). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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. An International Journal of Mathematics, 5: 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. An International Journal of Mathematics, 4: 267–281, doi:10.1016/0040-9383(65)90011-X, ISSN 0040-9383, MR 0192515
Stub icon

This topology-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Hattori–Stong_theorem&oldid=969790337"