Spectral Maps
A spectral map f: X → Y between spectral spaces X and Y is a continuous map such that the preimage of every open and quasi-compact subset of Y under f is again quasi-compact.
The category of spectral spaces which has spectral maps as morphisms is dually equivalent to the category of bounded distributive lattices (together with morphisms of such lattices. In this anti-equivalence, a spectral space X corresponds to the lattice K(X)
Read more about this topic: Spectral Space
Famous quotes containing the words spectral and/or maps:
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