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Lattices of Hausdorff compactifications of a locally compact space
This paper gives a lattice theoretic characterization of (complete) lattices which are lattices of Hausdorff compactifications of locally compact spaces.This is accomplished via a characterization of the lattices of closed equivalence relations on Γi spaces.NOTATIONS.L is a complete dually atomic lattice.D is the set of all dual atoms of L.