submaximal

Definition

A topological space (X,τ) is said to be submaximal if for each subset A of X, is closed( or equivalently
each dense subset of X is open).

Property

• submaximal ⇒ weakly submaximal.
• submaximal ⇒ T_ES?.

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.