β*T_{1/2}

Definition

• A topological space (X,τ) is called a β*T_{1/2} space if every β*g-closed set is closed.

Property

• A topological space (X,τ) is β*T_{1/2} if and only if each singleton of X is open or
  X-{x} is a β*-set for each x ∈ X.

Reference

• Açıkgöz, Ahu, On β∗g-closed sets and new separation axioms. (English summary), Eur. J. Pure Appl. Math. 4 (2011), no. 1, 20–33.