An Historical Perspective on Duality and Category Theory: Hom is where the heart is
摘要
Let us start with an informal and vague claim: a duality is a type of symmetry between two systems of codependent things involving an inversion. There. A claim so general that it cannot be false, and so vague that it cannot be true. But it is heuristically useful. It directs our thinking towards certain key components that are intrinsic to dualities.