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Results tagged with duality
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user 175321
Use for questions regarding duality of mathematical object, i.e. dual spaces, objects with two possible interpretations etc.
2
votes
Origin and context of adjunctions inducing equivalences between full subcategories
Question 1
I don't know if they are the first publications, but two very early references are
Garrett Birkhoff (1940). Lattice Theory.
Øystein Ore (1944). "Galois Connexions". (see Theorem 2 for a fo …
- 111
9
votes
1
answer
304
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Origin and context of adjunctions inducing equivalences between full subcategories
Not just the fundamental theorem of Galois theory can be formulated as an instance of the above theorem, but also the Gelfand–Naimark theorem, the Stone duality, the duality between affine schemes and … commutative rings, and the Pontrjagin duality are corollaries of the above theorem up to concrete characterization of $\mathcal C'$ and $\mathcal D'$. …
- 111