Goodwillie calculus and whitehead products

Boris Chorny; Jérôme Scherer

doi:10.1515/forum-2012-0038

Goodwillie calculus and whitehead products

Boris Chorny, Jérôme Scherer

Department of Mathematics, Physics and Computer Science (Oranim Campus)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	119-130
Number of pages	12
Journal	Forum Mathematicum
Volume	27
Issue number	1
DOIs	https://doi.org/10.1515/forum-2012-0038
State	Published - 1 Jan 2015

Bibliographical note

Publisher Copyright:
© de Gruyter 2015.

Keywords

Algebraic theory
Excisive functor
Goodwillie calculus
Homotopy nilpotent
Nilpotent

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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KW - Nilpotent

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Goodwillie calculus and whitehead products

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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