Theory of topological molecular lattices

The aim of this paper is to bring the theories of point set topology, fuzzy topology and L-fuzzy topology into a unified theory - the theory of Topological Molecular Lattices. For this purpose, we first introduce the concepts of molecule for completely distributive complete lattice (molecular lattice for short), the cotopology on it and the concept of remote-neighborhoods of molecules; therefrom we develop the theory of pointwise topology on molecular lattices.