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arXiv · 1802.02785

Boardman's whole-plane obstruction group for Cartan-Eilenberg systems

Gard Olav Helle·John Rognes
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Abstract

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.

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Gard Olav Helle, John Rognes. 2018-02-08. Boardman's whole-plane obstruction group for Cartan-Eilenberg systems. https://doi.org/10.25537/dm.2019v24.1855-1878

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