Remarks on pre-\(\mathcal{I}\)-regular pre-\(\mathcal{I}\)-open sets (Q1727821)
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scientific article; zbMATH DE number 7027193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on pre-\(\mathcal{I}\)-regular pre-\(\mathcal{I}\)-open sets |
scientific article; zbMATH DE number 7027193 |
Statements
Remarks on pre-\(\mathcal{I}\)-regular pre-\(\mathcal{I}\)-open sets (English)
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21 February 2019
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Summary: We deal with the new class of pre-\(\mathcal{I}\)-regular pre-\(\mathcal{I}\)-open sets in which the notion of pre-\(\mathcal{I}\)-open set is involved. We characterize these sets and study some of their fundamental properties. We also present other notions called extremally pre-\(\mathcal{I}\)-disconnectedness, locally pre-\(\mathcal{I}\)-indiscreetness, and pre-\(\mathcal{I}\)-regular sets by utilizing the notion of pre-\(\mathcal{I}\)-open and pre-\(\mathcal{I}\)-closed sets by which we obtain some equivalence relation for pre-\(\mathcal{I}\)-regular pre-\(\mathcal{I}\)-open sets.
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