Shortening binary complexes and commutativity of $K$-theory with infinite products
K-Theory and Homology
2021-05-28 v1
Abstract
We show that in Grayson's model of higher algebraic -theory using binary acyclic complexes, the complexes of length two suffice to generate the whole group. Moreover, we prove that the comparison map from Nenashev's model for to Grayson's model for is an isomorphism. It follows that algebraic -theory of exact categories commutes with infinite products.
Keywords
Cite
@article{arxiv.1705.09116,
title = {Shortening binary complexes and commutativity of $K$-theory with infinite products},
author = {Daniel Kasprowski and Christoph Winges},
journal= {arXiv preprint arXiv:1705.09116},
year = {2021}
}
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23 pages