weakly submaximal

Definition

A topological space (X,τ) is said to be weakly submaximal if for each finite subset A of X, is closed.

Property

• weakly submaximal ⇒ T_F+T_D.

Reference

1. Kennedy, G. J.; McCartan, S. D., Minimal weakly submaximal topologies. (English summary), Math. Proc. R. Ir. Acad. 99A (1999), no. 2, 133–140.