Higher Categories

Higher categories are a mathematical framework that generalizes the concept of categories, which are collections of objects and the relationships (morphisms) between them. In higher categories, these relationships are extended to include not just direct connections but also connections between connections, and so on, forming multiple layers or levels. This layered structure helps mathematicians understand complex systems where interactions themselves have interactions, such as in advanced algebra, topology, or physics. Essentially, higher categories provide a way to organize and study multi-level relationships in a consistent and structured manner.