Separation Axioms in ω-Molecular Lattices

In this paper, the concepts of ωT
_i
(i = -1, 0, 1, 2) separation axioms, ωθ-closure operator, ωθconvergence, ω*-convergence, (ω
₁
, ω
₂
)-continuity and ω-submolecular lattice in ω-molecular lattices are introduced. Their properties and characterizations are systematically discussed. Some interesting results, such as ωT
₂
⇒ωT
₁
⇒ ωT
₀
⇒ ωT
_-1
every ωT
_i
(i=-1, 0, 1, 2) separation is hereditary and omega-topological invariant, etc., are given