N-category

An N-category is a mathematical concept used to describe complex systems with multiple layers of relationships. Imagine objects (like points or shapes) and the ways they relate or connect to each other (like lines or transformations). In an N-category, these relationships are organized into levels: objects, morphisms between objects, morphisms between morphisms, and so on, up to N levels. This structured framework helps mathematicians study and understand intricate interactions in fields like algebra, topology, and mathematical physics by providing a consistent way to analyze how different entities relate across multiple stages.