Additivity of Generalized-algebraic Lattices and T_0 Topology
Deng Zi · Journal of Hunan University · 2002
It was showed that a generalized algebraic lattice is isomophic to the closed set lattice of some topological space if and only if it is additive.Thus an additive generalized algebraic lattice will play the same roll in topology as a traditional algebraic lattice has done in algebra.