Algebraic geometry

Zariski space

In algebraic geometry, a Zariski space, named for Oscar Zariski, has several different meanings: * A topological space that is Noetherian (every open set is quasicompact) * A topological space that is Noetherian and also sober (every nonempty closed irreducible subset is the closure of a unique point). The spectrum of any commutative Noetherian ring is a Zariski space in this sense * A Zariski–Riemann space of valuations of a fieldThis disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. (Wikipedia).

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Related pages

Sober space | Zariski–Riemann space | Algebraic geometry | Oscar Zariski