Separation Axioms in ω-Molecular Lattices
Shui-Li Chen · 2006
In this paper, the concepts of ωTi(i = -1, 0, 1, 2) separation axioms, ωθ-closure operator, ωθconvergence, ω*-convergence, (ω1, ω2)-continuity and ω-submolecular lattice in ω-molecular lattices are introduced. Their properties and characterizations are systematically discussed. Some interesting results, such as ωT2⇒ωT1⇒ ωT0⇒ ωT-1every ωTi(i=-1, 0, 1, 2) separation is hereditary and omega-topological invariant, etc., are given