Goodwillie calculus and Whitehead products

Details Goodwillie calculus and Whitehead products Goodwillie calculus and Whitehead products

2011-09-13

arxiv.org/abs/1109.2691v1

Mathematics

Algebraic Topology

12 pages

Scientific paper

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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