2013/03/18 by Satoshi Mochizuki, Mochizuki, Satoshi · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.AT #math.CT #math.KT
paper · pdf · doi:10.48550/arxiv.1303.4133
arxiv created 2013/03/18 · openalex publication_date 2013/03/18 · arxiv updated 2013/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main objective of this paper is to propose a definition of non-connective K-theory for a wide class of relative exact categories which, in general, do not satisfy the factorization axiom and confirm that it agrees with the non-connective K-theory for exact categories and complicial exact categories with weak equivalences. The main application is to study the topological filtrations of non-connective K-theory of a noetherian commutative ring with unit in terms of Koszul cubes.