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Topological properties defined in terms of generalized open sets | | Julian Dontchev
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1 Nov 1998 | | Subject: | General Topology MSC-class: 54-06; 54D30; 54G12; 54A05; 54H05; 54G99 | math.GN | | Abstract: | 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 $(X, au)$ 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 $(X, au)$ 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. | | Source: | arXiv, math.GN/9811003 | | Services: | Forum | Review | PDF | Favorites | |
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