*Definition [#d4b44465]
A topological space (X,τ) is said to be submaximal if for each subset A of X,  &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7bA%7d%5csetminus%20A%20%5c%5d%7d%25.png); is closed( or  equivalently each dense subset of X is open).

*Property [#u4717f70]
-submaximal ⇒ [[weakly submaximal]].
-submaximal ⇒ [[T_ES]].

*Reference [#wea3d3a1]
+Kennedy, G. J.; McCartan, S. D., ''Minimal weakly submaximal topologies.'' (English summary), Math. Proc. R. Ir. Acad. 99A (1999), no. 2, 133–140.