Definition
Every g-open cover has a finite subcover.
Reference
K. Balachandran, P. Sundaram and H. Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Uni. Ser A Math. 12 (1991), 5-13.
S.B. Navalagi, Definition bank in general topology, http://at.yorku.ca/i/d/e/b/75.htm