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math.KT2026
Weak Waldhausen categories and a localization theorem
Yasuaki Ogawa, Amit Shah
Waldhausen categories were introduced to extend algebraic -theory beyond Quillen's exact categories. In this article, we modify Waldhausen's axioms so that it matches better wit…
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…