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}
}
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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