Nigh-Open Sets in Topological Space

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Jamal Oudetallah, Nabeela Abu-Alkishik, Iqbal M. Batiha


In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.

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