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A Primer of Complete Lattices
Morphisms into chains
Projective limits and functors which preserve them
36 other sections not shown
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adjoint algebraic lattices apply assume basis bound called Chapter characterization Clearly closed compact complete lattice conclude consider construction contained continuous lattice convergence COROLLARY define definition denote directed set discussion element equivalent example EXERCISE exists fact filter finite following statements function functor given gives Hausdorff Hence Heyting algebra Hofmann holds homomorphism ideal implies important injective interpolation property intersection interval irreducible isomorphism Lawson topology LEMMA limit lower sets maximal means meet meet-continuous lattices monotone morphisms natural neighborhood open sets particular poset preserves preserves arbitrary preserves directed sups prime projective Proof PROPOSITION prove recall relation Remark respect satisfies Scott topology Scott-open semilattice sober space Spec subset sup-semilattice Suppose Theorem theory topological semilattice topological space ultrafilter unit upper set whence