In this paper, we characterize spaces such that their one-point compactification is a scattered space. We study spaces such that their Wallman compactification is scattered and we give necessary and sufficient conditions on the subspace A to get its closure scattered. An application of scattered spaces to image classification problem is also presented.
This paper deals with spaces such that their compactification is a resolvable space. A characterization of space such that its one point compactification (resp. Wallman compactification) is a resolvable space is given.
This paper deal with spaces such that their compactification is a Stone space. The particular cases of the one-point compactification, the Wallman compactification and the Stone-Čech compactification are studied.Mathematics Subject Classification: 06B30, 06F30, 54F05
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.