sober space

== English == === Noun === sober space (plural sober spaces) (topology) A topological space of which every join-irreducible closed subset is the closure of exactly one point of the space. 1983, Houston Journal of Mathematics, Volume 9, University of Houston, page 192, In the Hofmann and Lawson paper, it is proved that the topological space Spec(L) is a locally quasicompact sober space […] . ==== Hypernyms ==== (topological space): Kolmogorov space, topological space ==== Hyponyms ==== (topological space): Hausdorff space ==== Related terms ==== soberification / sobrification (latter form apparently more common) ==== Translations ==== === Further reading === Kolmogorov space on Wikipedia.Wikipedia Separation axiom on Wikipedia.Wikipedia sober topological space on nLab