Suppose X is a topological space. If Y is a subset of X, we denote by Y - the closure of Y . A topological space is sober if every closed irreducible set has a unique generic point. Any continuous map of topological spaces preserves the partial order.
Any closed set is a stable set.
A subset Y of X is closed if and only if Y is both stable and preclosed. Y is a continuous map of topological spaces. Any morphism is preclosed. A spectral site is an algebraic site C with an affine basis B which is an affine spectral site. We show that ASch and GASch are affine spectral sites.