TL;DR
This paper offers a simplified approach to the stable Hopf invariant, providing elementary proofs of key formulas and extending results to the stable category of -spaces for discrete groups.
Contribution
It introduces simplified proofs of fundamental formulas related to the stable Hopf invariant and extends these results to -spaces for discrete groups.
Findings
Elementary proofs of the Cartan, Composition, and Transfer formulas.
Extension of results to the stable category of -spaces.
Simplified approach to the stable Hopf invariant.
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 is a discrete group, we show how to extend these results to the stable category of -spaces.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Operator Algebra Research