MORPHISMS ON CLOSURE SPACES AND MOORE SPACES
B. Venkateswarlu, R. Vasu Babu, G. Alemu · International Journal of Pure and Apllied Mathematics · 2014
We discuss an equivalence of the concepts of complete lattices, Moore classes, and a one-to-one correspondence between Moore classes of subsets of a set X and closure operators on X.Also, we establish a correspondence between closure operators on sets and complete lattices.We describe morphisms among partially ordered sets, lattices, Moore classes, closure operators and complete lattices and discuss certain inter-relationships between these objects.