Topological properties defined in terms of generalized open sets

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This paper covers some recent progress in the study of sg-open sets, sg-compact spaces, N-scattered spaces and some related concepts. A subset A of a topological space (X,τ) is called sg-closed if the semi-closure of A is included in every semi-open superset of A. Complements of sg-closed sets are called sg-open. A topological space (X,τ) is called sg-compact if every cover of X by sg-open sets has a finite subcover. N-scattered space is a topological spaces in which every nowhere dense subset is scattered.