Generalized Open Sets, Minimality and Connectedness Properties in Relator Spaces

Abstract

Motivated by corresponding definitions of the various generalized open sets in topological spaces, we introduce and study ten kinds of generalized topologically open sets in relator spaces. Moreover, having in mind the various connectedness properties considered in topological spaces, we introduce and study seventeen reasonable connectedness properties of relator spaces. The results contained in the dissertation have been presented in two papers and one chapter.