English

On the stable Hopf invariant

Algebraic Topology 2026-03-12 v2

Abstract

We provide a simplified approach to the the stable Hopf invariant. We provide short elementary proofs of the Cartan Formula, the Composition Formula, and the Transfer formula. In addition, when π\pi is a discrete group, we show how to extend these results to the stable category of π\pi-spaces.

Keywords

Cite

@article{arxiv.2603.07854,
  title  = {On the stable Hopf invariant},
  author = {John R. Klein},
  journal= {arXiv preprint arXiv:2603.07854},
  year   = {2026}
}

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R2 v1 2026-07-01T11:09:30.106Z