Introduction to Category Theory: Examples

This lecture introduces the theory of categories through examples, such as defining a category CR based on a relation R on a set X, exploring the composition and identity properties. It also discusses the construction of a category BG from a group G, where the objects are elements of G and the morphisms are given by the group operation. Furthermore, it explains the product of categories C and D, denoted as C x D, detailing how objects and morphisms are defined and composed in this product category.