Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems
Gard Olav Helle
Department of Mathematics, University of Oslo, NorwayJohn Rognes
Department of Mathematics, University of Oslo, Norway
![Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-24.png&w=3840&q=90)
Abstract
Each extended Cartan-Eilenberg system gives rise to two exact couples and one spectral sequence. We show that the canonical colim-lim interchange morphism associated to is a surjection, and that its kernel is isomorphic to Boardman's whole-plane obstruction group , for each of the two exact couples.
Cite this article
Gard Olav Helle, John Rognes, Boardman's Whole-Plane Obstruction Group for Cartan-Eilenberg Systems. Doc. Math. 24 (2019), pp. 1855–1878
DOI 10.4171/DM/717