Chorny, BorisScherer, Jerome2015-02-202015-02-202015-02-20201510.1515/forum-2012-0038https://infoscience.epfl.ch/handle/20.500.14299/111310WOS:000347788300005We 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.Nilpotenthomotopy nilpotentalgebraic theoryGoodwillie calculusexcisive functortext::journal::journal article::research article