Monthly Archives: March 2011

Extreme solutions

Not all problem statements are amenable to translation via Galois connections or adjunctions. A reasonable characterization of those that are suitable is the optimization problems—finding the least or greatest solution satisfying a given collection of constraints, according to some ordering. … Continue reading

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Adjunctions

Universal properties are a generalization of the notion of a Galois connection between two orderings. Or perhaps I should say: universal properties arise from adjunctions, and it is adjunctions that are a generalization of Galois connections. Adjunctions capture in an … Continue reading

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