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Paper detail

Goodwillie calculus and Whitehead products

We prove that iterated Whitehead products of length (n+1) vanish in any value of an n-excisive functor in the sense of Goodwillie. We compare then different notions of homotopy nilpotency, from the Berstein-Ganea definition to the Biedermann-Dwyer one. The latter is strongly related to Goodwillie calculus and we analyze the vanishing of iterated Whitehead products in such objects.

preprint2011arXivOpen access
Jerome SchererBoris Chorny
math.AT
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Jerome SchererBoris Chorny

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