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Limits, standard complexes and -codes
Sbornik: Mathematics ( IF 0.8 ) Pub Date : 2021-01-16 , DOI: 10.1070/sm9348
S. O. Ivanov 1 , R. V. Mikhailov 1, 2 , F. Yu. Pavutnitskiy 1
Affiliation  

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 Knneth 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.



中文翻译:

极限、标准复合体和 - 代码

对于$\mathscr{C}$具有成对余积的强连接类别,我们引入了一个共单纯对象,它作为一种分辨率来计算 的更高派生函子$\lim \colon \mathrm{Ab}^{\mathscr{C}}\to \mathrm{Ab}$。应用程序涉及更高限制和 -$\lim$码的$\mathbf{fr}$有限性的 Knneth 定理。$\mathbf{fr}$给出了具有长度单词的-codes的字典$\leq 3$

参考书目:19 题。

更新日期:2021-01-16
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