Mathematics > Category Theory
arXiv:2606.21342 (math)
[Submitted on 19 Jun 2026]
Abstract:In this paper, we define the notion of a spectral sequence in the context of semi-abelian categories in the sense of Janelidze, Márki and Tholen. We show that from a double simplicial object, one can construct an exact couple, which gives rise to a spectral sequence. This extends Quillen's result on double simplicial groups to every semi-abelian category.
Submission history
From: Florent Afsa [view email]
[v1]
Fri, 19 Jun 2026 11:38:29 UTC (18 KB)
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