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The objective of this article is, first, to study the properties of supra limits and supra boundary points and introduce a notion of supra closure operator. Second, to introduce and investigate the notions of supra Lindeloff, almost supra compact ( almost supra Lindeloff) and mildly supra compact ( mildly supra Lindeloff) spaces, and third, to introduce the concepts of supra regular, supra normal and \(ST_i\)-spaces (\(i = 3, 4\)) and point out the main features of them. The images and pre images of these kinds of spaces under some maps are discussed and several illustrative examples are presented.
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