Categorical colimits are a way to generalize the notion of combining objects in a category into a single object that summarizes the information from those objects. They are defined through a universal property that captures the idea of 'gluing together' diagrams of objects and morphisms, allowing for coherent constructions that maintain the relationships between the original elements. Colimits include various constructions such as coproducts, coequalizers, and pushouts, playing a critical role in understanding how structures can be built or extended in categorical contexts.
congrats on reading the definition of Categorical Colimits. now let's actually learn it.