Let C be an extriangulated category with enough projectives and injectives. We give a new definition of tilting subcategories of C and prove it coincides with the definition given in [19]. As applications, we introduce the notions of support τ-tilting subcategories and τ-cotorsion pairs of C. Then we show that there is a bijection between tilting subcategories and certain cotorsion pairs.
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Zhu et al. (2024) studied this question.
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