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Un complexe de Koszul de modules instables et cohomotopie d’un spectre de Thom

Nguyen Dang Ho Hai — 2012

Bulletin de la Société Mathématique de France

Dans [8], les auteurs ont construit une résolution injective minimale d’un module instable dans la catégorie des modules instables . A partir de cette résolution, un résultat de type conjecture de Segal a été obtenu pour un certain spectre de Thom. Le but de cet article est de refaire ces résultats pour les . Etant donné un premier impair p , on construit dans ce travail un complexe de Koszul dans la catégorie des modules instables sur l’algèbre de Steenrod modulo p . Une résolution injective d’un...

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