Limits, standard complexes and
-codes
-
Published:2020-11-01
Issue:11
Volume:211
Page:1568-1591
-
ISSN:1064-5616
-
Container-title:Sbornik: Mathematics
-
language:
-
Short-container-title:Sb. Math.
Author:
Ivanov S. O.,Mikhailov R. V.,Pavutnitskiy F. Yu.
Abstract
Abstract
For a strongly connected category
with pairwise coproducts, we introduce a cosimplicial object, which serves as a sort of resolution for computing higher derived functors of
. Applications involve the Künneth theorem for higher limits and
-finiteness of
-codes. A dictionary for the
-codes with words of length
is given.
Bibliography: 19 titles.
Funder
Russian Science Foundation
Ministry of Education and Science of the Russian Federation
Subject
Algebra and Number Theory