Abstract

Interrelation among some existing variants of normality is discussed and characterizations of these variants are obtained. It is verified that Urysohn's type lemma and Tietze's type extension hold for some of these variants of normality. Decomposition of normality in terms of near normality and some factorizations of normality in presence of some lower separation axioms are given.

Keywords: $\kappa$-normal; $\theta$-normal; f$\theta$-normal; w$\theta$-normal; wf$\theta$-normal; $\Delta$-normal; w$\Delta$-normal; wf$\Delta$-normal; $\alpha$-normal; $\beta$-normal; $\pi$-normal; $\Delta$-regular

MSC: 54D15

Pages:  77--86     

Volume  68 ,  Issue  2 ,  2016