Essential extensions, the nilpotent filtration and the Arone–Goodwillie tower

TitreEssential extensions, the nilpotent filtration and the Arone–Goodwillie tower
Type de publicationArticle de revue
AuteurPowell, Geoffrey
PaysRoyaume-Uni
EditeurOxford University Press
VilleOxford
TypeArticle scientifique dans une revue à comité de lecture
Année2016
LangueAnglais
Date24 mai 2016
Numéro1
Pagination85-112
Volume94
Titre de la revueJournal of the London Mathematical Society
ISSN0024-6107
Résumé en anglais

The spectral sequence associated to the Arone–Goodwillie tower for the n-fold loop space functor is used to show that the first two non-trivial layers of the nilpotent filtration of the reduced mod 2 cohomology of a (sufficiently connected) space with nilpotent cohomology are comparable. This relies upon the theory of unstable modules over the mod 2 Steenrod algebra, together with properties of a generalized class of almost unstable modules, which is introduced here. An important ingredient of the proof is a non-vanishing result for certain extension groups in the category of unstable modules modulo nilpotents.

URL de la noticehttp://okina.univ-angers.fr/publications/ua14918
DOI10.1112/jlms/jdw026
Lien vers le document

http://jlms.oxfordjournals.org/content/94/1/85

Titre abrégéJ. London Math. Soc.