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Clementino, M.M., Weakly hereditary regular closure operators, Topology and its Applications 49 (1993) 129-139. We present characterizations of subcategories inducing weakly hereditary regular closure operators. These characterizations are applicable, in particular, to the category Top of topological spaces and continuous maps and to Abelian categories. Weakly hereditary regular closure operators, in Fop and in Abelian categories satisfying some conditions, are shown to correspond todoi:10.1016/0166-8641(93)90039-g fatcat:4o3gpujznjeihdbisbq6rrowwy