A natural spectral sequence corresponding to a pair of a Postnikov tower (system) and a (co)homological functor from a triangulated category is constructed. The results are applied to some classical filtrations in the homotopy category K(A). In triangulated categories endowed with weight structures, the weight spectral sequences (defined by M. V. Bondarko) with some additional properties are studied.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 500, 2021, pp. 188–203.
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Shamov, S.V. On Spectral Sequences for the Postnikov Towers. J Math Sci 272, 470–480 (2023). https://doi.org/10.1007/s10958-023-06437-7
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DOI: https://doi.org/10.1007/s10958-023-06437-7