Colimit

In mathematics, particularly in category theory, a colimit is a way to combine several objects and their relationships into a single cohesive whole. Imagine you have different pieces of a puzzle, each representing a distinct object, and some pieces connect with others. The colimit is like the completed puzzle that brings all these pieces together, capturing their connections and interactions. This concept helps mathematicians understand how structures can evolve and relate to one another, allowing for the study of complex systems in a unified manner.