New Generalized Structures of Supra Compactness and Supra Lindelöfness in Supra Topological Spaces

Abstract

The main aim of the present manuscript is to apply another idea of generalized supra open set namely, supra δ-ß-open to investigate and study other novel extended structures of supra compactness and Lindelöfness namely, supra δ-ß-compact (supra δ-ß-Lindelöf) spaces, almost supra δ-ß-compact (almost supra δ-ß-Lindelöf) spaces and mildly supra δ-ß-compact (mildly supra δ-ß-Lindelöf) spaces in supra topological spaces. Various essential properties and fundamental characterizations for each idea are verified; as well some interesting and appropriate examples are presented to demonstrate the relationships among these kinds of spaces.  Additionally, a novel notion of supra limit points called, supra δ-ß-limit points is defined and some basic properties related to this concept are investigated and proved, also various arousing interest results are developed which may be importance of other future studies.