sober space

noun

Definitions

  1. A topological space of which every join-irreducible closed subset is the closure of…

    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 […] .
    • Thus sober spaces are necessarily T₀.

The neighborhood

Vish — recursive loop

No curated loop yet for sober space. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA