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Exact couples in a Raïkov semi-abelian category. (English) Zbl 1059.18006

The author generalizes exact couples and Rees systems in the sense of Eckmann and Hilton to quasi-abelian categories (i.e., Raikov semi-abelian categories in the author’s terminology). In contrast to the abelian case, the construction of a derived couple is not possible unless a strictness condition is assumed. Therefore, the paper shows, at least from the viewpoint of exact couples, that spectral sequences are not easily handled in non-abelian additive categories.

MSC:

18E05 Preadditive, additive categories
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