sober space

Noun

 * 1)  A topological space of which every join-irreducible closed subset is the closure of exactly one point of the space.
 * 2) * 1983, Houston Journal of Mathematics, Volume 9,, page 192,
 * In the Hofmann and Lawson paper, it is proved that the topological space Spec(L) is a locally quasicompact sober space.
 * In the Hofmann and Lawson paper, it is proved that the topological space Spec(L) is a locally quasicompact sober space.