Arrow Category

An arrow category is a mathematical framework where objects represent entities, and arrows (or morphisms) represent relationships or transformations between these entities. Think of objects as points or boxes, and arrows as directed connections or functions from one point to another. Composition of arrows follows associative rules, meaning that connecting two arrows sequentially is consistent regardless of how you group them. Arrow categories help structure complex systems, such as processes, data flows, or functions, in a way that emphasizes how things relate and transform within a consistent mathematical setting.