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arXiv · 1109.2691

Goodwillie calculus and Whitehead products

Jerome Scherer·Boris Chorny
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Abstract

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.

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Jerome Scherer, Boris Chorny. 2011-09-13. Goodwillie calculus and Whitehead products. https://doi.org/10.1515/forum-2012-0038

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