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.

Published in:
Forum Mathematicum, 27, 1, 119-130
Year:
2015
Publisher:
Berlin, Walter de Gruyter
ISSN:
0933-7741
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