Aiming at the rationality of new knowledge mesh, which is obtained from the self-reconfiguration of knowledgeable manufacturing systems, the inherent structure principle of the knowledge mesh is studied. Firstly, the sets of the knowledge points are classified by the equivalent relations, and the function topological space is constructed. The relationships between the sets of the knowledge points and the function topological space are established by the real set. In the function topological space, the conclusions of the base are given, which show the essential mapping relationships of the knowledge mesh, the topological space and the base. After knowing the principle, the structure of the knowledge mesh is reduced by using the equivalent relations, the base and the basic knowledge points. The completeness of the complex relationships in the knowledge mesh is studied by the transitive closure. These conclusions can reduce the structure and enhance the rationality of the knowledge mesh. Finally the given example shows that these theories are effective.
