Weak topological molecular lattices
LI Sheng-gang · Journal of Northwest University · 2010
Aim To build the theorem of weak topological molecular lattice,and discuss its properties.Methods The relation between weak closure operator and weak cotopology is studied with the help of bijection,by theorem of category,weak topological molecular lattice is discussed.Results Weak cotopology can be described by weak closure operator;and proved that both WTML(the category of weak topological molecular lattices and continuous mappings) and TML(the category of topological molecular lattices and continuous mappings) are topological categories on CL(the category of complete lattices and join-preserving mappings).Conclusion The theorem of closure space in general topology is improved and supplemented.