New convergence of molecular nets and its applications

Molecules net-theory is very important tool in topological molecular lattice. In this paper, the new concepts of c-convergence and weak c-convergence of molecular nets are given in L-topological spaces by means of neighborhoods and remote neighborhoods of molecules. Their properties are discussed, many nice results are obtained. The c-convergence of molecular nets can be used to characterize the LT2, weak LT2 separation axioms, also can be used to characterize L-compactness, weak L-compactness and can overcome the height of N-compactness in (Guojun Wang, 1983, Dongsheng Zhao, 1987).