Comptes Rendus
no. 9-10
Homological Algebra/Topology
Wilson spaces and homological algebra for coalgebraic modules
[Les espaces de Wilson et l'algèbre homologique pour les modules cogèbriques]

Présenté par : Christophe Soulé

Takuji Kashiwabara1
1 Institut Fourier, Université de Grenoble I, UMR5582 CNRS, BP 74, 38402 St Martin d'Hères, France
Comptes Rendus. Mathématique, Volume 348 (2010) no. 9-10, pp. 491-493.

Dans cet article, nous montrons que les espaces de Wilson peuvent être utilisés pour remplacer les espaces de lacets infinis associés au spectre de Brown–Peterson dans le calcul des CTor, les dérivées à gauche du produit tensoriel généralisé définies par Hunton et Turner.

In an earlier work, Wilson spaces were used to compute certain CTor Hopf algebras. In this Note we show how one can replace a resolution by infinite loop spaces associated to the Brown–Peterson spectrum with a resolution by Wilson spaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.03.002
Takuji Kashiwabara 1

1 Institut Fourier, Université de Grenoble I, UMR5582 CNRS, BP 74, 38402 St Martin d'Hères, France 
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Takuji Kashiwabara. Wilson spaces and homological algebra for coalgebraic modules. Comptes Rendus. Mathématique, Volume 348 (2010) no. 9-10, pp. 491-493. doi : 10.1016/j.crma.2010.03.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.03.002/

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