在本文中,我们引入了双强连续格的概念,得到了其上半序拓扑和半双Scott拓扑的一些性质。另外还研究了其上的半序收敛,特别地,得到了某类格上的半序收敛是可拓扑化的一个充要条件。
In this paper,some properties of semi order-topology and semi bi-Scott topology on a doubly strongly continuous Lattice are obtained. Semi order-convergence in the doubly strongly continuous Lattice is studied. Especially, a sufficient and necessary condition for semi order-convergence to be topological is given for some kind of Lattices.