Weak Waldhausen categories are introduced to support one-sided extriangulated localization theorems, yielding right exact K0 sequences, with new proofs of the Enomoto-Saito theorem and a generalization of Sarazola's cotorsion pair construction.
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Weak Waldhausen categories and a localization theorem
Weak Waldhausen categories are introduced to support one-sided extriangulated localization theorems, yielding right exact K0 sequences, with new proofs of the Enomoto-Saito theorem and a generalization of Sarazola's cotorsion pair construction.