Spectral space
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In mathematics, a topological space X is said to be spectral if
- 1) X is compact and T0;
- 2) The set C(X) of all compact open subsets of (X,Ω) is a sublattice of Ω and a base for the topology;
- 3) X is sober, that is any nonempty closed set F which is not a closure of a singleton {x} is a union of two closed sets which differ from F.
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