# Goodwillie calculus and Whitehead products

@article{Scherer2015GoodwillieCA,
title={Goodwillie calculus and Whitehead products},
author={J'erome Scherer and Boris Chorny},
journal={Forum Mathematicum},
year={2015},
volume={27},
pages={119-130}
}
• Published 2015
• Mathematics
• Forum Mathematicum
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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