The inverse limit in the category of topological molecular lattices

摘要

In this paper, we first introduce the definition of an inverse system in the category of topological molecular lattices, and give the structure of the inverse limit of an inverse system. Then we establish the concept of a mapping between two inverse systems,. and induce the concept of a continuous mapping between the inverse limits of two inverse systems. Finally, we discuss a series of properties of continuous mappings. Therefore, the difficult problem in the theory of topological molecular lattices is solved.