∞-Tilting Subcategories in Extriangulated Categories

In this paper, the authors introduce a new definition of ∞-tilting (resp. cotilting) subcategories with infinite projective dimensions (resp. injective dimensions) in an extriangulated category. They give a Bazzoni characterization of ∞-tilting (resp. cotilting) subcategories. Also, they obtain a partial Auslander-Reiten correspondence between ∞-tilting (resp. cotilting) subcategories and coresolving (resp. resolving) subcategories with an \(\mathbb{E}\) -projective generator (resp. \(\mathbb{E}\) -injective cogenerator) in an extriangulated category.