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In this work, we present the notion of sp[γ,γ^(* ) ]-open set, sp[γ,γ^(* ) ]-closed, and sp[γ,γ^(* ) ]-closure such that several properties are obtained. By using this concept, we define a new type of spaces named sp[γ,γ^(* ) ]-compact space.doi:10.24996/ijs.2020.61.1.14 fatcat:thcq6ghribfoxjoiiuqvic3fa4