1998/11/01 by Julian Dontchev, Dontchev, Julian
Mathematics · #54-06 #54A05 #54D30 #54G12 #54G99 #54H05 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54-06 #msc:54A05 #msc:54D30 #msc:54G12 #msc:54G99 #msc:54H05
paper · pdf · doi:10.48550/arxiv.math/9811003
14 pages, Presented at the 1997 Yatsushiro Topological Conference, 23-24 August 1997, Japan
arxiv created 1998/11/01 · arxiv updated 2009/11/30
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.