Weak n-category

Weak \( n \)-categories are a generalization of the concept of \( n \)-categories in the field of higher category theory. In traditional category theory, a category consists of objects and morphisms between those objects, satisfying certain axioms. As we move to higher dimensions, such as \( 2 \)-categories or \( 3 \)-categories, we introduce higher-dimensional morphisms (or "cells"), leading to more complex structures.