2 papers
math.KT2024
A resolution theorem for extriangulated categories with applications to the index
Yasuaki Ogawa, Amit Shah
Quillen's Resolution Theorem in algebraic -theory provides a powerful computational tool for calculating -groups of exact categories. At the level of , this result goes…
math.CT2024
Localization of triangulated categories with respect to extension-closed subcategories
Yasuaki Ogawa
The aim of this paper is to develop a framework for localization theory of triangulated categories , that is, from a given extension-closed subcategory o…