ABSTRACT
As early as in the sixties [1],[2] started the research on topological representa tion for complete lattices. However, the correspondence between lattices and T0-topological spaces is not one-to-one. In order to overcome this obstacle, a generalized way-below relation [3] must be considered besides the ordering. Based on [4[,]5] we establish in this paper the topological representation of an additive generalized-algebraic lattice and show that the category of additive generalized-algebraic lattices with lower homomorphism is equivalent to the category of Το-topological spaces with continuous mappings.
