β*g-closed

Definition

• A subset A of a space (X,τ) is called β∗g－closed if cl(A) ⊂ U whenever A ⊂ U and U is a β*-set.

Property

• closed → β*g-closed → g-closed.
• β*g-closed → β*pg-closed?.
• β*g-closed → β*sg-closed?.

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.