Topology generated by cluster systems

摘要

In this paper, we prove that (X, τ ) and the new topology (X, τ E ) have the same semiregularization if E is a π-network in X with the property H. Also, we discuss the properties of E, τ E and study generalized Volterra spaces and discuss their properties. We show that τ E coincides with the -topology for a particular E.