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arXiv · 2606.21342

Spectral Sequences in Semi-Abelian Categories

Florent Afsa
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Abstract

In this paper, we define the notion of a spectral sequence in the context of semi-abelian categories in the sense of Janelidze, M\'arki 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.

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Florent Afsa. 2026-06-19. Spectral Sequences in Semi-Abelian Categories. https://arxiv.org/abs/2606.21342

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