Geodesic
Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems
Documenta mathematica, Tome 24 (2019), pp. 1855-1878.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Each extended Cartan-Eilenberg system $(H, \partial)$ gives rise to two exact couples and one spectral sequence. We show that the canonical colim-lim interchange morphism associated to $H$ is a surjection, and that its kernel is isomorphic to Boardman's whole-plane obstruction group $W$, for each of the two exact couples.
Classification : 55T, 18G40
Keywords: spectral sequences, Cartan-Eilenberg systems, exact couples, convergence 
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     author = {Helle, Gard Olav and Rognes, John},
     title = {Boardman's {Whole-Plane} {Obstruction} {Group} for {Cartan-Eilenberg} {Systems}},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a18/}
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Helle, Gard Olav; Rognes, John. Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems. Documenta mathematica, Tome 24 (2019), pp. 1855-1878. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a18/