Email this article Limits, standard complexes and $\mathbf{fr}$-codes
- Authors: Ivanov S.O.1, Mikhailov R.V.1,2, Pavutnitskiy F.Y.1
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Affiliations:
- Laboratory of Modern Algebra and Applications, St. Petersburg State University
- St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 211, No 11 (2020)
- Pages: 72-95
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/133363
- DOI: https://doi.org/10.4213/sm9348
- ID: 133363
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Abstract
For a strongly connected category $\mathscr{C}$ with pairwise coproducts, we introduce a cosimplicial object, which serves as a sort of resolution for computing higher derived functors of $\lim \colon \mathrm{Ab}^{\mathscr{C}}\to \mathrm{Ab}$. Applications involve the Künneth theorem for higher limits and $\lim$-finiteness of $\mathbf{fr}$-codes. A dictionary for the $\mathbf{fr}$-codes with words of length $\leq 3$ is given. Bibliography: 19 titles.
About the authors
Sergei Olegovich Ivanov
Laboratory of Modern Algebra and Applications, St. Petersburg State University
Email: ivanov.s.o.1986@gmail.com
Candidate of physico-mathematical sciences, no status
Roman Valerevich Mikhailov
Laboratory of Modern Algebra and Applications, St. Petersburg State University; St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of SciencesDoctor of physico-mathematical sciences, Head Scientist Researcher
Fedor Yur'evich Pavutnitskiy
Laboratory of Modern Algebra and Applications, St. Petersburg State University
Email: fedor.pavutnitskiy@gmail.com
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