S-space

Definition

A topological space is said to be an S-space if every subset which contains an nonempty open set is open.

Reference

J. Dontchev, On superconnected spaces, Serdica Bulg. Math. Publ. 20 (1994), 345-350. http://www.math.bas.bg/~serdica/1994/1994-345-350.pdf