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Goodwillie calculus and Whitehead products.
- Source :
-
Forum Mathematicum . Jan2015, Vol. 27 Issue 1, p119-130. 12p. - Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 27
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 100521770
- Full Text :
- https://doi.org/10.1515/forum-2012-0038