Narges Nazari
Ghasem Mirhosseinkhani

In this paper, we introduce the concept of the gener-alized topological molecular lattices as a generalization of Wang stopological molecular lattices, topological spaces, fuzzy topologi-cal spaces, L-fuzzy topological spaces and soft topological spaces.Topological molecular lattices were de ned by closed elements, butin this new structure we present the concept of the open elementsand de ne a closed element by the pseudocomplement of an openelement. We have two structures on a completely distributive com-plete lattice, topology and generalized co-topology which are notdual to each other. We study the basic concepts, in particular sep-aration axioms and some relations among them.

Topological molecular lattice, Generalized Topological molecular lattice, Generalized order homomorphism, Separation axiom