English

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

Algebraic Topology 2022-06-22 v1

Abstract

Each extended Cartan--Eilenberg system (H,)(H, \partial) gives rise to two exact couples and one spectral sequence. We show that the canonical colim-lim interchange morphism associated to HH is a surjection, and that its kernel is isomorphic to Boardman's whole-plane obstruction group WW, for each of the two exact couples.

Cite

@article{arxiv.1802.02785,
  title  = {Boardman's whole-plane obstruction group for Cartan-Eilenberg systems},
  author = {Gard Olav Helle and John Rognes},
  journal= {arXiv preprint arXiv:1802.02785},
  year   = {2022}
}
R2 v1 2026-06-23T00:15:33.445Z