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They literally occur everywhere. Here're a couple more examples, not from what you said: - Adjoint between integers and real numbers: https://math.stackexchang
by solomatov 4y ago
They literally occur everywhere. Here're a couple more examples, not from what you said:
- Adjoint between integers and real numbers: https://math.stackexchange.com/questions/598075/find-the-left-and-right-adjoints-of-the-inclusion-of-integers-into-real-numbers https://math.stackexchange.com/questions/598075/find-the-lef...
- Adjoint between lattices in abstract interpretation. I.e. abstraction relation between abstract and real interpreter.
- ogogmad 4y agoThe first example is trivial, and serves as an illustrative but useless example (which I don't need). I don't know enough about the second example.
- solomatov 4y ago>The first example is trivial, and serves as an illustrative but useless example (which I don't need). Yep. Most of the example of adjoints trivial if you know the field of math where they are used. The interesting part is why it happens almost everywhere.