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arxiv: 2603.07854 · v3 · pith:GUOXNENT · submitted 2026-03-09 · math.AT

On the stable Hopf invariant

John R. Klein This is my paper

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keywords stableformulahopfinvariantadditionapproachcartancategory
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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 $\pi$ is a discrete group, we show how to extend these results to the stable category of $\pi$-spaces. We also consider the extent to which the stable Hopf invariant is unique.

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