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On Spectral Sequences for the Postnikov Towers. / Шамов, Степан Владимирович.

In: Journal of Mathematical Sciences, Vol. 272, No. 3, 09.05.2023, p. 470–480 .

Research output: Contribution to journal › Article › peer-review

Harvard

Шамов, СВ 2023, 'On Spectral Sequences for the Postnikov Towers', Journal of Mathematical Sciences, vol. 272, no. 3, pp. 470–480 . https://doi.org/10.1007/s10958-023-06437-7

APA

Шамов, С. В. (2023). On Spectral Sequences for the Postnikov Towers. Journal of Mathematical Sciences, 272(3), 470–480 . https://doi.org/10.1007/s10958-023-06437-7

Vancouver

Шамов СВ. On Spectral Sequences for the Postnikov Towers. Journal of Mathematical Sciences. 2023 May 9;272(3):470–480 . https://doi.org/10.1007/s10958-023-06437-7

Author

Шамов, Степан Владимирович. / On Spectral Sequences for the Postnikov Towers. In: Journal of Mathematical Sciences. 2023 ; Vol. 272, No. 3. pp. 470–480 .

BibTeX

@article{49d60111ef18435a9e941fde02efdf97,
title = "On Spectral Sequences for the Postnikov Towers",
abstract = "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.",
author = "Шамов, {Степан Владимирович}",
year = "2023",
month = may,
day = "9",
doi = "10.1007/s10958-023-06437-7",
language = "English",
volume = "272",
pages = "470–480 ",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On Spectral Sequences for the Postnikov Towers

AU - Шамов, Степан Владимирович

PY - 2023/5/9

Y1 - 2023/5/9

N2 - 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.

AB - 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.

UR - https://www.mendeley.com/catalogue/eedf6cb0-4abb-361a-9aba-ea4f05a7b881/

U2 - 10.1007/s10958-023-06437-7

DO - 10.1007/s10958-023-06437-7

M3 - Article

VL - 272

SP - 470

EP - 480

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 108271706