A uniform approach to normality for topological spaces

Abstract

Abstract(λ, µ)-regularity and (λ, µ)-normality are defined for generalized topological spaces. Several variants of normality existing in the literature turn out to be particular cases of (λ, µ)-normality. Uryshon's lemma and Tietze extension theorem are discussed in the light of (λ, µ)-normality.2010 MSC: 54A05; 54D10.