[Les espaces de Wilson et l'algèbre homologique pour les modules cogèbriques]
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.
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@article{CRMATH_2010__348_9-10_491_0,
author = {Kashiwabara, Takuji},
title = {Wilson spaces and homological algebra for coalgebraic modules},
journal = {Comptes Rendus. Math\'ematique},
pages = {491--493},
publisher = {Elsevier},
volume = {348},
number = {9-10},
year = {2010},
doi = {10.1016/j.crma.2010.03.002},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.03.002/}
}
TY - JOUR AU - Kashiwabara, Takuji TI - Wilson spaces and homological algebra for coalgebraic modules JO - Comptes Rendus. Mathématique PY - 2010 SP - 491 EP - 493 VL - 348 IS - 9-10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.03.002/ DO - 10.1016/j.crma.2010.03.002 LA - en ID - CRMATH_2010__348_9-10_491_0 ER -
%0 Journal Article %A Kashiwabara, Takuji %T Wilson spaces and homological algebra for coalgebraic modules %J Comptes Rendus. Mathématique %D 2010 %P 491-493 %V 348 %N 9-10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.03.002/ %R 10.1016/j.crma.2010.03.002 %G en %F CRMATH_2010__348_9-10_491_0
Kashiwabara, Takuji. Wilson spaces and homological algebra for coalgebraic modules. Comptes Rendus. Mathématique, Tome 348 (2010) no. 9-10, pp. 491-493. doi : 10.1016/j.crma.2010.03.002. http://www.numdam.org/articles/10.1016/j.crma.2010.03.002/
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