A Note on Urysohn’s Lemma under mIαg-Normal Spaces and mIαg-Regular Spaces in Ideal Minimal Space

Abstract

This research article is concerned with the introduction of a new notion of normal spaces and regular spaces, namely mIαg-normal spaces and mIαg-regular spaces. We established their significant properties in ideal minimal spaces. Some equivalent conditions on mIαg-normal spaces and mIαg-regular spaces are proved. Urysohn's Lemma on mIαg-normal spaces is also established.

Keywords

• mIαg-closed sets
• mIαg-normal spaces
• mIαg-regular spaces
• Urysohn’s Lemma

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