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\(\mathcal{I}_{w\widehat{g}}\)-normal and \(\mathcal{I}_{w\widehat{g}}\)-regular spaces. (English) Zbl 1463.54064

Summary: \(\mathcal{I}_{w\widehat{g}}\)-normal and \(\mathcal{I}_{w\widehat{g}}\)-regular spaces are introduced and various characterizations and properties are given. Characterizations of normal, mildly normal, \(w\widehat{g}\)-normal and regular spaces are also given.

MSC:

54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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