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

Ananga Kumar Das, Pratibha Bhat


A simultaneous generalization of  $\kappa$-normality and weak $\theta$-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; $\theta$-open set; $\theta$-closed set; $\kappa$-normal (mildly) normal space; almost normal space; (weakly) (functionally) $\theta$-normal space; weakly $\kappa$-normal space; $\Delta$-normal space; strongly semi

Subject classification

54D10; 54D15.

Full Text:



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