Standard

Limits, standard complexes and fr-codes. / Ivanov, Sergei O.; Mikhailov, Roman V.; Pavutnitskiy, Fedor Yu.

In: Sbornik Mathematics, Vol. 211, No. 11, 11.2020, p. 1568-1591.

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

Harvard

Ivanov, SO, Mikhailov, RV & Pavutnitskiy, FY 2020, 'Limits, standard complexes and fr-codes', Sbornik Mathematics, vol. 211, no. 11, pp. 1568-1591. https://doi.org/10.1070/SM9348

APA

Ivanov, S. O., Mikhailov, R. V., & Pavutnitskiy, F. Y. (2020). Limits, standard complexes and fr-codes. Sbornik Mathematics, 211(11), 1568-1591. https://doi.org/10.1070/SM9348

Vancouver

Ivanov SO, Mikhailov RV, Pavutnitskiy FY. Limits, standard complexes and fr-codes. Sbornik Mathematics. 2020 Nov;211(11):1568-1591. https://doi.org/10.1070/SM9348

Author

Ivanov, Sergei O. ; Mikhailov, Roman V. ; Pavutnitskiy, Fedor Yu. / Limits, standard complexes and fr-codes. In: Sbornik Mathematics. 2020 ; Vol. 211, No. 11. pp. 1568-1591.

BibTeX

@article{4503d0bff03640b592f213ceffb5f1dd,
title = "Limits, standard complexes and fr-codes",
abstract = "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 K{\"u}nneth 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.",
keywords = "Cohomological finiteness, Cosimplicial resolutions, Higher limits",
author = "Ivanov, {Sergei O.} and Mikhailov, {Roman V.} and Pavutnitskiy, {Fedor Yu}",
note = "Publisher Copyright: {\textcopyright} 2020 Russian Academy of Sciences (DoM) and London Mathematical Society",
year = "2020",
month = nov,
doi = "10.1070/SM9348",
language = "English",
volume = "211",
pages = "1568--1591",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "11",

}

RIS

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