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A topological space  Y , τ is called epi- α -normal (epi- β -normal) if there is a coarser topology  τ ′ on  Y such that  Y , τ ′ is  T 1   α -normal ( T 1   β -normal). We investigate these properties and show some examples to explain the relationships of epi- α -normal (epi- β -normal) with other weaker versions of normality and some topological spaces.

journal of mathematics

Epi-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mi>α</mi></math>-Normality and Epi-<math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"><mi>β</mi></math>-Normality

Epi-α-Normality and Epi-β-Normality

Epi- $α$ -Normality and Epi- $β$ -Normality