Delooping of relative exact categories
Toshiro Hiranouchi, Satoshi Mochizuki
TL;DR
This paper introduces a delooping model for relative exact categories, providing a condition under which their negative K-groups are trivial, advancing the understanding of algebraic K-theory.
Contribution
It presents a novel delooping model for relative exact categories that clarifies when negative K-groups vanish, offering new insights into algebraic K-theory.
Findings
Negative K-groups become trivial under the delooping condition
Provides a new framework for understanding relative exact categories
Advances the theory of algebraic K-theory
Abstract
We introduce a delooping model of relative exact categories. It gives us a condition that the negative K-group of a relative exact category becomes trivial.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra