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Answer by Joseph Van Name for Topological Problems Solved by Lattice Duality

The idea that these dualities are only used in the direction of proving algebraic results using topological spaces is not correct. Any sort of completion or compactification process (that I can think...

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Topological Problems Solved by Lattice Duality

It is well known the success of lattice dualities (as Pontryagin duality for abelian groups, Stone duality for Boolean algebras and Priestley duality for distributive lattices) to solve algebraic...

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