A decomposition of normality via a generalization of $\kappa$-normality

Ananga Kumar Das, Pratibha Bhat


A simultaneous generalization of κ-normality and weak θ-normality is introduced. Interrelation of this generalization of normality with existing variants of normality is studied. In the process of investigation a new decomposition of normality is obtained.


regularly open set; regularly closed set; θ-open set; θ-closed set; κ-normal (mildly) normal space; almost normal space; (weakly) (functionally) θ-normal space; weakly κ-normal space; ∆-normal space; strongly seminormal space

Subject classification

54D10; 54D15

Full Text:



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