Coherent Categories

Coherent categories are a mathematical framework used to organize and study collections of objects and their relationships in a consistent way. Think of them as structured systems where objects and arrows (or morphisms) connect them, and the collection has good properties allowing for the combination and comparison of those objects. The "coherent" aspect means the system is well-behaved with stable operations like finite limits, ensuring that the structures behave predictably and are suitable for logic, algebra, and computer science applications. Essentially, they provide a rigorous way to understand complex relationships in a unified, logical manner.