The aim of this paper is to study the class of θ -generalized closed sets, which is properly placed between the classes of generalized closed and θ -closed sets. Furthermore, generalized Λ -sets [16] are extended to θ -generalized Λ -sets and R 0 -, T 1 / 2 - and T 1 -spaces are characterized. The relations with other notions directly or indirectly connected with generalized closed sets are investigated. The notion of TGO-connectedness is introduced.