### Where to Start

This blog probably makes most sense read in forwards chronological order rather than backwards, especially if you're new to the material; in that case, you might want to start at the beginning.**It appears that the Wordpress latex plugin has changed since I wrote these posts, and some chunks of latex that used to work no longer do so. You'll see messages saying "you must stay in inline math mode" in place of some calculations. I'll fix these as I can. Sorry!**

# 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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