Geodesic
On spectral sequences for Postnikov towers
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 188-203

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In this paper we construct a natural spectral sequence corresponding to a Postnikov tower (system) along with a (co)homological functor from a triangulated category. We apply the results to some classical filtrations in the homotopy category $K(A)$. In triangulated categories endowed with weight structures, we constuct weight spectral sequences (as defined by M. V. Bondarko), with some additional properties. 
@article{ZNSL_2021_500_a9,
     author = {S. V. Shamov},
     title = {On spectral sequences for {Postnikov} towers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {188--203},
     publisher = {mathdoc},
     volume = {500},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a9/}
}
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S. V. Shamov. On spectral sequences for Postnikov towers. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 188-203. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a9/