Goodwillie calculus and Whitehead products
Algebraic Topology
2015-10-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1109.2691,
title = {Goodwillie calculus and Whitehead products},
author = {Jerome Scherer and Boris Chorny},
journal= {arXiv preprint arXiv:1109.2691},
year = {2015}
}
Comments
12 pages