Geodesic
Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems
Documenta mathematica, Tome 24 (2019), pp. 1855-1878
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Each extended Cartan-Eilenberg system (H,∂) 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.
DOI : 10.4171/dm/717
Classification : 18G40
Mots-clés : convergence, spectral sequences, Cartan-Eilenberg systems, exact couples 
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     author = {Gard Olav Helle and John Rognes},
     title = {Boardman's {Whole-Plane} {Obstruction} {Group} for {Cartan-Eilenberg} {Systems}},
     journal = {Documenta mathematica},
     pages = {1855--1878},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/717},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/717/}
}
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Gard Olav Helle; John Rognes. Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems. Documenta mathematica, Tome 24 (2019), pp. 1855-1878. doi: 10.4171/dm/717

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