Adjoint functors arise everywhere, in all areas of mathematics. Since the structure in any of these definitions gives rise to the …

Adjoint functors in two (or more) variables also determine each other up to a unique natural equivalence. The situation is similar …

Aug 23, 2026 · “The multiple examples, here and elsewhere, of adjoint functors tend to show that adjoints occur almost everywhere …

Let u : \mathcal {C} \to \mathcal {D} and v : \mathcal {D} \to \mathcal {C} be functors. We say that u is a left adjoint of v, or that v is a …

Aug 23, 2026 · “The multiple examples, here and elsewhere, of adjoint functors tend to show that adjoints occur almost everywhere …

The free group functor is tricky to construct explicitly. In Chapter 6, we will prove a result (the general adjoint functor theorem) …

In this paper, we investigate technical properties of adjoint functors, and their appearance in algebraic topology. 1. Basic Notions of …

Jun 17, 2026 · Adjoint functors arise everywhere, in all areas of mathematics. Since the structure in any of these definitions gives rise …

We're going to generalize Galois connections between preorders, and get 'adjoint functors' between categories. These are one of …

Now let me actually explain adjoint functors! As we learned long ago, the basic idea is that adjoints give the best possible way to …