The topology τ* on Alexandroff spaces

الملخص EN

The generalized closure operator induces a topology .

In this paper, we study the topology on lower bounded Alexandroff spaces.

We prove that is a submaximal Alexandroff space.

We get some new results about the relation between and .

Then we prove that a subset in a lower bounded space is closed set if and only if is open in the dual space.