*Definition [#re9c2f0a]
-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 [#p3e25c38]
-closed → β*g-closed → [[g-closed>generalized closed]].
-β*g-closed → [[β*pg-closed]].
-β*g-closed → [[β*sg-closed]].

*Reference [#tdf09b8a]
-Açıkgöz, Ahu, ''On β*g-closed sets and new separation axioms.'' (English summary), Eur. J. Pure Appl. Math. 4 (2011), no. 1, 20-33.