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In this paper, we introduce a new kind of closed sets called α∗-closed sets in a topological space and investigate their properties. These closed sets are compared with the closed sets and the generalized closed sets. We also introduce the α∗-homeomorphisms and develop their properties by using the α∗-closed maps and α∗-continuous maps.

Study of α*-Homeomorphisms by α*-closed Sets

Study of α-Homeomorphisms by α-closed Sets