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Smash products for secondary homotopy groups

Hans-Joachim Baues·Fernando Muro
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Abstract

We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered. In particular we prove a formula for the crossed effect of the cup-one product operation on unstable homotopy groups of spheres which was claimed by Barratt-Jones-Mahowald.

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Hans-Joachim Baues, Fernando Muro. 2006-10-17. Smash products for secondary homotopy groups. https://doi.org/10.1007/s10485-007-9071-x

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