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Limits, standard complexes and fr-codes. / Ivanov, Sergei O.; Mikhailov, Roman V.; Pavutnitskiy, Fedor Yu.
в: Sbornik Mathematics, Том 211, № 11, 11.2020, стр. 1568-1591.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Limits, standard complexes and fr-codes
AU - Ivanov, Sergei O.
AU - Mikhailov, Roman V.
AU - Pavutnitskiy, Fedor Yu
N1 - Publisher Copyright: © 2020 Russian Academy of Sciences (DoM) and London Mathematical Society
PY - 2020/11
Y1 - 2020/11
N2 - For a strongly connected category C with pairwise coproducts, we introduce a cosimplicial object, which serves as a sort of resolution for computing higher derived functors of lim: AbC → Ab. Applications involve the Künneth theorem for higher limits and lim-finiteness of fr-codes. A dictionary for the fr-codes with words of length ≤ 3 is given. Bibliography: 19 titles.
AB - For a strongly connected category C with pairwise coproducts, we introduce a cosimplicial object, which serves as a sort of resolution for computing higher derived functors of lim: AbC → Ab. Applications involve the Künneth theorem for higher limits and lim-finiteness of fr-codes. A dictionary for the fr-codes with words of length ≤ 3 is given. Bibliography: 19 titles.
KW - Cohomological finiteness
KW - Cosimplicial resolutions
KW - Higher limits
UR - http://www.scopus.com/inward/record.url?scp=85100381796&partnerID=8YFLogxK
U2 - 10.1070/SM9348
DO - 10.1070/SM9348
M3 - Article
AN - SCOPUS:85100381796
VL - 211
SP - 1568
EP - 1591
JO - Sbornik Mathematics
JF - Sbornik Mathematics
SN - 1064-5616
IS - 11
ER -
ID: 90651212