The notions of os os -convergence and S∗ S∗ -doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff’s order-convergence and S∗ S∗ -doubly continuous posets, respectively. We first consider the relationship between os os -convergence and B-topology and show that the topology induced by os os -convergence according to the standard topological approach is the B-topology precisely. Then, the topological characterization for the S∗ S∗ -doubly quasicontinuity is presented. It is proved that a po...
